This sketch is a gem, I liked it! It is absolutely correct - people can and will divide if this is their goal. Sadly this mass social disintegration on all levels affects negatively various free software products. I don't even hold any extreme political beliefs (I think) but nevertheless I avoid discussing any politics in any professional environment because it's just not the place for these types of discussions and it usually doesn't lead to anything constructive or positive. I never cared what my peers' political/religious beliefs were and through the years never had problems with any of them. It was a simple life - as long as all of us did our job the final products were of decent quality.
Perhaps some kind of a policy which would treat politics as off-topic and would discourage discussing it would be beneficial to such projects in the long run.