But who will be the tolerance police? If a majority votes for something that is intolerant, does that give an outside faction the right to start bombing them until they vote the right way?
In a true liberal democracy, the people themselves enforce these rights. The people must of course preserve some spirit of resistance, which provides the "militant" twist in parent's description of a "militant democracy".
While the German constitution says that all Germans have the right to resist against anyone seeking to abolish democratic fundamentals, there's not really a provision for it to be by violent means.
It's not "militant democracy", it does not point to the means, but to the idea that it's not possible to abolish democracy by legal means. It's a legal concept, not a plan to follow in case of emergency.
But what if they don't? A lot of countries in the middle east are profoundly not liberal. If things play out in an un-liberal/intolerant way, do we step in and "fix" them so that they meet our own standards?
No. You got to eatablish structures that can resist voting the wrong people, this means mostly seperation of powers and a working law system. Political movements that have direct military and jurisdictive power can only be voted out if they feel like it. Political powers that have enough military power to break the seperation of power can then force courts with weaponpower to decide their way.
So democracy is not about "letting people vote" it is about establishing a system that resists attemptet power grabs an keeps power in the hands of the voters should they want to vote people out.
The day the party in power can just ignore/fake the result of an election without consequences is the day a democracy started dying.