I think Mourinho should be given a good chance and be allowed to stay until the end of the season. It's an interesting season and Jose is making it all the more interesting.
You would need to be mental to swap JM for BR. You could only swap him for a proven winner, at domestic and Champions League level. What has Rogers actually won in his career?
Your season is pretty much a write-off at this stage. So if I were a Chelsea fan I'd want Jose kept until you're out of all the cups, and then maybe get rid of him.