They certainly don't have equivalent intentions or outcomes. So no, they're not equivalent at all, no matter how hard you try to justify and whitewash one-sided Republican bigotry by claiming to know everyone's true motivations. You're still making a false equivalence.

Then name some openly gay Republicans in power, and tell me what they've done to tangibly improve LGBT lives. (Who didn't switch to the Democratic party after coming out, like Charlie Crist, and who don't deny it, like Larry Craig or Lindsey Graham.)

Are the Log Cabin Republicans finally being taken seriously?

Republican LGBTQ rights group’s executive director is the latest to leave after its endorsement of Trump

https://www.washingtonpost.com/politics/executive-director-o...

Conservative LGBT group denied a spot at Texas GOP convention

https://www.houstonchronicle.com/news/houston-texas/houston/...