They both effectively want to kill gays, just one of them is overt about it and the other restricts itself to the degrades living conditions of the marginalized under capitalism while covering itself in a rainbow flag.

As another queer example, trans people face hardship like other marginalized people. They disproportionately face rejection by their support systems, homelessness, difficulties with employment, access to healthcare. I have personally interacted with many, many Democrats that claim to be pro-trans but demonize the homeless and fight against universal healthcare. They support the systems of marginalization but selectively tap into empathy and acceptance.

But materially, the primary outcome is the same. Republicans usually embrace the overtly reactionary psychology of marginalization while Democrats ensure the material consequences of marginalization remain intact.

Though we shouldn’t forget that Dems are also often homophobic, racist, transphobic, islamophobic, etc etc.