Seriously? Why don't we scrutinize the judges in unhappy marriages or who had nasty divorces because they can't be fair in domestic cases? Or judges with messed up kids can't sit on juvenile cases?  Or white judges can't sit on cases involving black parties and vice versa?  That makes as much sense as the nonsense you're advocating. 

A lawyer who used Civil Rule 42(c) just because a judge is gay would be committing malpractice, and any client with such a lawyer would be a fool not to fire that lawyer on the spot for suggesting it.  And just try getting a judge to recuse himself for cause for having a "lifestyle" you disagree with.  Good luck on that one! This is a small legal community and if lawyers started doing that, there would be few judges who would get any cases at all. 

Also, "alternative lifestyle"?? So 1985.  It's 2016 and gay people get married, have kids, etc. None of which is required for a judge to sit on any type of case at all.