I'd love to hear a coherent explanation of how homosexuals are trying to "destroy their culture" and "flood them with Muslims."
The vast majority of homosexuals I know have no interest in anything besides being accepted as gay. They don't want to change your culture, they don't even want to force you to embrace them.
And the link with Muslims is especially surprising. Some of the most anti-Muslim people I know are gay precisely because of that religion's draconian and regressive stances on it.
Of course, if your goal is to persuade people that there is a vast conspiracy of everyone else (leftists, gays, minorities) to invade you then the rhetoric makes a lot more sense. Naturally, it's straight out of the fascist playbook.