Yes, people with opposing personal views have worked together for the entirety of human civilization, if that was not possible we would have no civilization.

When people with opposing personal views stop working together is when the problems occur. Echo Chambers and Mono Cultures lead to extremism in most instances. This is true no matter what your political or personal world view is.

Peaceful Collaboration in one area of life even with people that in other areas of life you disagree is essential to a functional society.