I thought about this and I am pretty much me at work, without the personal stuff of course, that's just boundaries. If I was having a tough personal time I wouldn't talk about it at work but that would benefit me because I would want to get away from that - in fact at times work has been a safe refuge for me.
If a workplace was so constricted you couldn't be yourself I agree with others it may be a sign to move on. I would find that very hard.