Do you think there is hope for this situation?

We still love each other. We both contributed to the demise of the relationship - the biggest problem was letting our friends influence us and we listened to their bad advice and it tainted the way we felt about each other. We are broken up now but stuck living together and we're trying to give each other space and remain friends. I would like to try again but I know, as of right now, if we started again we'd just end up the same. There were still little problems - I.E. my temper (I would get annoyed easily over stupid things and be mad at him) and his messiness and tendency to be a bit obnoxious. I am more willing to put up with his problems than he is to put up with mine. He still loves me, but he feels because of our problems and where we let things go it won't work out in the long run. I disagree, but I do think we need to work on ourselves before we try again. I don't know if I can or should convince him that in six months or a year we could revisit the issue and see if we're better for each other or if I should just try to improve myself and my temper and see if his mind changes when he notices the changes. What do you all think?