Lets take politics at work.
If you talk about politics and everyone agrees then you know you are working along side aligned people. Which is good and it can be fun to talk politics and see why people think the way they do.
If people disagree thats fine. If theyget mad thats on them. You can always retreat to only professional interaction and if they want to break that by being petty or mean then the manager can sort that out. If your views are so insane you are getting kicked out of groups then you should probably reconsider why you hold those views or why you work with these people.
As for looking professional, do you want to be a robot or a human? Of course your boss would rather you be a blank robot who just gets on with work but they are hiring a human and humans are allowed to express themselves.