I don't have any statistics but I'd bet a good amount on the outcome if someone were to do a study of political leanings and sexual preference.
I myself have observed a strong connection between sexual and political liberalism. I've seen it in church,both generally and particularly among the women I dated in my single/virgin days.
At times I met (and sometimes dated) "good Christians" who read the Bible, went to church, sang the hymns, paid tithes, and more-or-less embraced a Christian worldview -- and who therefore by all theological rights should have been conservatives -- yet when it came to politics, they were flaming liberals. This phenomenon puzzled me, until over the years I started noticing a pattern: almost without exception, those people were eventually exposed as sexually corrupt. Sometimes I found out very painfully, when "Christian" women dumped me because I wouldn't have premarital sex.
The pattern was so consistent that nowadays, whenever I meet "Christian liberals", I must say, I almost automatically prepare myself to find out that they're secret fornicators (or worse.) Haven't seen many exceptions, in fact I'm having trouble thinking of even one right now.