We have to fight to do away with your misguided view of what democracy is about. It is to give people an opportunity to live together, not cut each other's throat.
I think your view of Democracy is the misguided one. Well, you are right about the not cut each other's throat part. But you are wrong in your implication that people aren't going to violently disagree.
Democracy gives us a way to make decisions about our bitter disputes without killing each other. It doesn't magically make our bitter disputes go away.
The first major dispute was abolition. Some people adamantly believed that owning slaves was a God-given right and essential for their way of live. Some people believed that slavery was a real evil.
How do you resolve this with your view of democracy? You have two sides who feel passionately. Everything you do will be considered as a win by one side and a loss for the other.
Well, you could come up with a series of "compromises", letting blacks be counted 3/5ths and establishing free and slave states kept in a numerical balance. These compromises didn't work.
Slavery wasn't the only issue. There was the right of women to vote. There was civil rights. There was monopolies. There was labor laws including child labor.
Any significant issue is an issue to fight for. Homosexuals aren't going to sit down with anti-gay preachers to negotiate for their rights. And anti-gay preachers aren't going to sit down with Homosexuals to negotiate the fate of a nation going against God.
Democracy provides us a way to fight our battles without cutting each others throats.
Abortion, Immigration, Healthcare, Education, Privacy. There are still battles to be fought.