If there was no reason to "hate" each other, or rather dislike, you should have become friends instead of just submitting to each others inane dislike. Alxe is a nice boy, and you both seem rational, just settle your differences and move on. Just let it go, mutually. There is no point in dwelling on matters vacant of relevant reason, just as there is no point to hatred. Hate does not build, my friend, it only destroys.
I hope the best, and do try to let it go. <3