I have a feeling that the result of a rising Moslem population in those countries will instead be an end of democracy: if the only way to maintain the countries' identities is to deny a Moslem majority political rights, that will be done.
After that, we will have mass expulsions and internments of muslims in the West.
You cannot put a cut outfit on a viper and call it a viper and put it to your bosom. Sooner or later they will be expelled. Truly 'moderate' (not Trojan Horse moderate!) muslims in the West will be forced to swear elaborate loyalty oaths to their secular governments to avoid expulsion or internment.
Just my opinion. Nazi Germany and Imperial Japan didn't reform from within, and neither will the worldwide umma, universal islamofascism.