What changes is how we manage those disagreements. You point out an extreme view, but it's not very likely for that view to become law.
Politicians represent a lot of people, and those people they represent deserve respect even while you negotiate strongly for your own perspective. You may even find them an ally on another issue.
The alternative is for you to basically conclude that there is a large fraction of the population you simply can't live with. That leads to some pretty bad situations.
It also snowballs, because if you focus enough on any issue you will develop very strong opinions and feel like they are non-negotiable. So there is no end. The reality is that all beliefs are tolerable because we currently tolerate them. Only actions can be intolerable.