In the Seventeenth Century many American colonists were fleeing England due to religious persecution because their religion didn't happen to be the the dominant/majority held belief [1].
The idea that government should govern based on what the majority want is a fallacy. The specific topic of tyranny of the majority and ways to combat it were discussed in the Federalist papers and, in my belief, is ultimately the reason the Founding Fathers structured American government the way it did (federation, checks and balances, republic, etc.).
I am not trying to argue that AirBnB is good, but it's not bad because your neighbors don't like it.