The core of the issue is:
Caused by: java.lang.ClassCastException: org.apache.solr.handler.dataimport.MongoEntityProcessor cannot be cast to org.apache.solr.handler.dataimport.EntityProcessor
I suspect you are not using the same version of Solr as he does. Based on the jars, you seem to be using Solr 1.4.1. Based on timestamps at GitHub, the integration project is 6 months old and might be using more recent Solr (3.6 or - less likely - 4+).
Unless your Solr is well-established system, I would download Solr 4 and try again, using the DIH jars that come with the installation