I mean, I don’t get this. I don’t.
It doesn’t strike me as being about equality at all. The reason for gay pride – for any sort of pride – is as a natural response to repression: in other words, being told that you have nothing to be proud about. But I don’t know of any straight people – any at all - who’ve been targeted by the gay community and told that what they’re doing is unnatural, or disgusting, or morally wrong, or will land them in eternal damnation. Perhaps you’ve heard different, of course, but I think if this was happening, we’d know about it.
So this is either an argument founded on utterly false logic, or it’s a guarded way of saying that you’re proud of being straight because it’s the right way forward. In which case it’s homophobic. Either approach, as far as I can see, is wrong.