Good point...as Christians everywhere loudly denounce this creep, Muslims are nearly silent in opposition to the kills they actually do.
It strikes me that the situation is rather like when Hitler invaded the USSR. Before that event, it was logically possible to be anti-fascist and anti-communist without encountering any practical problems of strategy. After the fact, the Allies had to choose and so they made as good a bargain as they could with Stalin. However, it did not make communism good, and when fascism was defeated, Stalinist communism went back to being the main enemy.
In this case, we can still be opposed on moral grounds to sodomy, but for the time being, our more dangerous enemy has chosen to involve that group in a wider campaign of terror. So we have temporary reasons to share common ground.
There is also the libertarian perspective that says that the gay lifestyle is entirely a matter of personal choice in a free society. I still think it is more complicated than just that, we do not say for example that mass murder is a matter of personal choice. If the gay lifestyle is morally wrong, then at some point it becomes an issue, while I have a certain desire to tolerate it, when it pushes too far into the area of political dominance (follow our agenda or else) then I seek to oppose that tendency.
Complicated times — when one enemy takes action against another, yet to sit back and applaud will not slow down the more dangerous of the two. But under no circumstances does Orlando mean that we have to accept all aspects of the progressive gay-gender agenda and all of its challenges to traditional moral values. We have a lot on our plates, that is certain.