You can't be seriously suggesting that being in a sexual minority is somehow tied to one's political leaning. Depending on the poll roughly 2 to 9 percent of the US population identify as LGBT. That is of the total population, not just Democrats. The extremists on the far right spouting hatred toward gays don't represent the right as a whole any more than the far-left antisemites do. They're simply holding the rest of the group hostage as hardly anybody dares to speak up. The gays on the right are under just as much oppression as the gays on the left - possibly even more.

If you make it a left-wing event you're by definition excluding everyone not identifying with leftism. It's one of the few things that should unite the left and the right but instead it gets politicized to the point that even people in that minority like myself turn against the whole Pride ideology.