Not exactly.
I have a family member that is very feminist, and homosexual.
and another family member, that is evangelical and very faithful.
This made me have close contact with both groups, I even loaned my apartment (when I had one), to a group of friends of the the homosexual feminist person, they were going to a party in the city where I lived, and lived in another city.
So, talking with both groups, it became clear to me, that HIV spread is not related to political belief directly, but related to how much sex (And the kind of sex) a person has.
Even among women, anal sex spread HIV faster, the evangelical group I knew, think anal sex is a sin (even heterosexual).
Meanwhile, the politically liberal group, believe sex should not be tied to marriage and monogamy, and some people in the group have lots of sex.
Of course, if you have more sex, and with more risky ways, you get more HIV.
Discrimination, has nothing to do with it (even because homosexualism here is not completely "underground" anymore, there are harsh laws against discrimination of any kind, and civil unions with gays is already allowed, with now the government thinking about authorizing gay marriage or not).