Gays are a minority in every democracy, and this does not make them marginalized in all those countries.

To the contrary: democracy makes it more likely that they are tolerated and included.

So your argument is not at all compelling.

Also, to help you see it: take European Union as an example.

It is only a loosely integrated democracy, but still, we elect EU MPs etc.

EU does not prevent at all to have traditions and to "respect" the existence of geographically distinct "samples" of humans (its member countries, or its member intrastate regions, etc).