Estou tentando adicionar o Omnifaces 2.1 a um aplicativo da Web para usar o FullAjaxExceptionHandler e possivelmente outras funcionalidades no Omnifaces 2.1.

Eu li e segui o seguinte post de BallusC e ainda estou preso:Como instalar e usar o CDI no Tomcat?

Tentei instalar o Weld 2.2.9.Final e configure como descrito acima. Estou usando o seguinte:

JSF 2.2, EL 2.2, Servlet 3, Java 7

web.xml:

<?xml version="1.0" encoding="UTF-8"?> 
<web-app xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
    xmlns="http://java.sun.com/xml/ns/javaee" 
    xmlns:web="http://java.sun.com/xml/ns/javaee/web-app_3_0.xsd"
    xsi:schemaLocation="http://java.sun.com/xml/ns/javaee http://java.sun.com/xml/ns/javaee/web-app_3_0.xsd"
    id="{name}" version="3.0">

Na inicialização, ainda recebo a seguinte exceção:

Catalina.log:

INFO: Starting service Catalina
Aug 09, 2015 8:57:18 AM org.apache.catalina.core.StandardEngine startInternal
INFO: Starting Servlet Engine: Apache Tomcat/7.0.56
Aug 09, 2015 8:57:18 AM org.apache.catalina.startup.HostConfig deployDescriptor
INFO: Deploying configuration descriptor C:\xampp\tomcat\conf\Catalina\localhost\MITrace.xml
Aug 09, 2015 8:57:24 AM org.richfaces.webapp.ResourceServletContainerInitializer registerServlet
INFO: Auto-registered servlet ResourceServlet with mapping '/org.richfaces.resources/*'
Aug 09, 2015 8:57:24 AM org.omnifaces.ApplicationInitializer logOmniFacesVersion
INFO: Using OmniFaces version 2.1
Aug 09, 2015 8:57:26 AM com.sun.faces.config.ConfigureListener contextInitialized
INFO: Initializing Mojarra 2.2.6 ( 20140304-1537 https://svn.java.net/svn/mojarra~svn/tags/2.2.6@12949) for context '/MITrace'
Aug 09, 2015 8:57:27 AM com.sun.faces.spi.InjectionProviderFactory createInstance
INFO: JSF1048: PostConstruct/PreDestroy annotations present.  ManagedBeans methods marked with these annotations will have said annotations processed.
Aug 09, 2015 8:57:27 AM com.sun.faces.config.ConfigureListener contextInitialized
SEVERE: Critical error during deployment: 
java.lang.NoClassDefFoundError: Could not initialize class org.omnifaces.config.BeanManager
    at org.omnifaces.application.OmniApplication.<init>(OmniApplication.java:69)
    at org.omnifaces.application.OmniApplicationFactory.createOmniApplication(OmniApplicationFactory.java:89)
    at org.omnifaces.application.OmniApplicationFactory.getApplication(OmniApplicationFactory.java:54)
    at com.sun.faces.application.InjectionApplicationFactory.getApplication(InjectionApplicationFactory.java:93)
    at com.sun.faces.config.InitFacesContext.getApplication(InitFacesContext.java:144)
    at com.sun.faces.lifecycle.ClientWindowFactoryImpl.<init>(ClientWindowFactoryImpl.java:62)
    at sun.reflect.NativeConstructorAccessorImpl.newInstance0(Native Method)
    at sun.reflect.NativeConstructorAccessorImpl.newInstance(NativeConstructorAccessorImpl.java:57)
    at sun.reflect.DelegatingConstructorAccessorImpl.newInstance(DelegatingConstructorAccessorImpl.java:45)
    at java.lang.reflect.Constructor.newInstance(Constructor.java:526)
    at java.lang.Class.newInstance(Class.java:379)
    at javax.faces.FactoryFinder.getImplGivenPreviousImpl(FactoryFinder.java:721)
    at javax.faces.FactoryFinder.getImplementationInstance(FactoryFinder.java:553)
    at javax.faces.FactoryFinder.access$500(FactoryFinder.java:140)
    at javax.faces.FactoryFinder$FactoryManager.getFactory(FactoryFinder.java:1120)
    at javax.faces.FactoryFinder.getFactory(FactoryFinder.java:379)
    at com.sun.faces.config.processor.FactoryConfigProcessor.verifyFactoriesExist(FactoryConfigProcessor.java:328)
    at com.sun.faces.config.processor.FactoryConfigProcessor.process(FactoryConfigProcessor.java:236)
    at com.sun.faces.config.ConfigManager.initialize(ConfigManager.java:435)
    at com.sun.faces.config.ConfigureListener.contextInitialized(ConfigureListener.java:214)
    at org.apache.catalina.core.StandardContext.listenerStart(StandardContext.java:4992)
    at org.apache.catalina.core.StandardContext.startInternal(StandardContext.java:5492)
    at org.apache.catalina.util.LifecycleBase.start(LifecycleBase.java:150)
    at org.apache.catalina.core.ContainerBase.addChildInternal(ContainerBase.java:901)
    at org.apache.catalina.core.ContainerBase.addChild(ContainerBase.java:877)
    at org.apache.catalina.core.StandardHost.addChild(StandardHost.java:649)
    at org.apache.catalina.startup.HostConfig.deployDescriptor(HostConfig.java:672)
    at org.apache.catalina.startup.HostConfig$DeployDescriptor.run(HostConfig.java:1861)
    at java.util.concurrent.Executors$RunnableAdapter.call(Executors.java:471)
    at java.util.concurrent.FutureTask.run(FutureTask.java:262)
    at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1145)
    at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:615)
    at java.lang.Thread.run(Thread.java:745)

Localhost.log:

Aug 09, 2015 10:28:23 PM org.apache.catalina.core.ApplicationContext log
INFO: No Spring WebApplicationInitializer types detected on classpath
Aug 09, 2015 10:28:25 PM org.apache.catalina.core.ApplicationContext log
INFO: Initializing Spring root WebApplicationContext
Aug 09, 2015 10:28:27 PM org.apache.catalina.core.StandardContext listenerStart
SEVERE: Exception sending context initialized event to listener instance of class org.omnifaces.ApplicationListener
java.lang.ExceptionInInitializerError
    at org.omnifaces.ApplicationListener.checkCDIAvailable(ApplicationListener.java:63)
    at org.omnifaces.ApplicationListener.contextInitialized(ApplicationListener.java:55)
    at org.apache.catalina.core.StandardContext.listenerStart(StandardContext.java:4994)
    at org.apache.catalina.core.StandardContext.startInternal(StandardContext.java:5492)
    at org.apache.catalina.util.LifecycleBase.start(LifecycleBase.java:150)
    at org.apache.catalina.core.ContainerBase.addChildInternal(ContainerBase.java:901)
    at org.apache.catalina.core.ContainerBase.addChild(ContainerBase.java:877)
    at org.apache.catalina.core.StandardHost.addChild(StandardHost.java:649)
    at org.apache.catalina.startup.HostConfig.deployDescriptor(HostConfig.java:672)
    at org.apache.catalina.startup.HostConfig$DeployDescriptor.run(HostConfig.java:1861)
    at java.util.concurrent.Executors$RunnableAdapter.call(Executors.java:471)
    at java.util.concurrent.FutureTask.run(FutureTask.java:262)
    at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1145)
    at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:615)
    at java.lang.Thread.run(Thread.java:745)
Caused by: java.lang.IllegalStateException: CDI BeanManager instance is not available in JNDI.
    at org.omnifaces.config.BeanManager.<init>(BeanManager.java:99)
    at org.omnifaces.config.BeanManager.<clinit>(BeanManager.java:49)
    ... 15 more
Caused by: java.lang.IllegalStateException: javax.naming.NamingException: Cannot create resource instance
    at org.omnifaces.util.JNDI.lookup(JNDI.java:92)
    at org.omnifaces.config.BeanManager.<init>(BeanManager.java:95)
    ... 16 more
Caused by: javax.naming.NamingException: Cannot create resource instance
    at org.apache.naming.factory.ResourceEnvFactory.getObjectInstance(ResourceEnvFactory.java:115)
    at javax.naming.spi.NamingManager.getObjectInstance(NamingManager.java:321)
    at org.apache.naming.NamingContext.lookup(NamingContext.java:842)
    at org.apache.naming.NamingContext.lookup(NamingContext.java:153)
    at org.apache.naming.NamingContext.lookup(NamingContext.java:830)
    at org.apache.naming.NamingContext.lookup(NamingContext.java:153)
    at org.apache.naming.NamingContext.lookup(NamingContext.java:830)
    at org.apache.naming.NamingContext.lookup(NamingContext.java:167)
    at org.apache.naming.SelectorContext.lookup(SelectorContext.java:156)
    at javax.naming.InitialContext.lookup(InitialContext.java:411)
    at org.omnifaces.util.JNDI.lookup(JNDI.java:88)
    ... 17 more

O jar realmente existe e foi adicionado ao aplicativo.

O que mais poderia estar causando esse erro?