I saw in this other comment that you're denying the fact that Palestinians are currently experiencing a genocide. I completely disagree and I also recognize that there's probably nothing I can tell you that will make you acknowledge these events as a genocide. So I'll skip this part.

But what I can tell you is that empathy, compassion and being a decent human is not a zero-sum thing. Yes Palestinians and Muslims are more likely to be anti-LGBT for religious and cultural reasons. Yes that is an intolerant part of their beliefs and culture. But that doesn't mean that other people have to play a zero-sum game with their own morals and decency. You can support LGBT and Palestinians at the same time. Doing one does not detract or oppose the other, you can have enough empathy for both groups of people.

Just because some people are sometimes ignorant, doesn't mean they should be treated badly.

And finally the paradox of tolerance doesn't apply here because (I think) no Muslim society has ever claimed to be tolerant. Muslim culture generally does tend to side towards intolerance, yes.