Fortunately, you don't really have to solve that problem. It would be sufficient to assess claims of actual fact about the actual world. I think the first step in writing the classifier would be to write something like

    float IsStatementAboutFacts(string statement);  // Returns confidence estimate

Your statement is that of an atheist. You don't seem to realize that many of the followers of these religions believe their assertions to be factual in every way. When I got off the subway today, at the Port Authority, in New York City, there were 2 women, holding up signs about Jesus. One of the signs literally said "Historical fact: Jesus rose from the dead".

To me that's less of an issue than a statement like "if Trump is elected Jesus will return."

This statement is true because Jesus promised to return regardless of election results :)

Right, they have a few historical claims. But none of them have any proof for those claims and their confidence is off the charts.

Some of their statements pass the first filter, far fewer pass the second.