A better example is an atheist working with an evangelical. Both the atheist and the evangelical will have very strong opinions on each others' belief systems.
But that's not what I was responding to. OP implied this guy is a racist or a misogynist and stated she couldn't work with someone who held his kinds of beliefs.
I've read the manifesto and it's not as strong as you make it out to be. For example, I've argued that you can't expect perfect proportional demographic representation in a free society in any field. It will not happen, for a variety of reasons that may not be nefarious. If women are under-represented in programming it may not be because of sexism.
A better statement would be: "Will the Evangelical write a 10 page memo "explaining" why there are naturally fewer Atheists in church organizations because their beliefs makes the inherently less interested in it?"
The answer would be yes. But it's not a good example.
It's kind of offensive to be judged by this hypothetical "average X person" stereotype. It more or less implies it's their fault, that they are underrepresented because they want to.