Whether they agree or disagree with your judgment is not essential to your mark. Give those who disagree with you a fair go. Try to meet their arguments with better ones. Your argument should be consistent, and the language used should be clear, grammatical and precise. Furthermore, an essay is a finished piece of work, not a draft or a series of notes.
Writing tends to be a very private process.
Exchanging essays is a way of gaining insight into your strengths and weaknesses, by comparing your approach to that of your colleagues. Since it is your ability that you are trying to develop, it would be counter productive. The idea of letting others see your work is rather daunting at first, but once you have broken the barriers of privacy, other students can often be at least as helpful as a tutor in finding ways forward.