You'll have an unusual connection. You might not be exactly each other's typical type of friend, but you'll warm up to each other gradually. Over time you'll grow to appreciate and respect each other more and more.
But after a while, you might find out that your initial resistance to this friendship may have been right after all. There will be something between you that won't be quite right, and it'll be hard to pinpoint what it is. You'll find this pal to be just a little bit too different, too original, too unpredictable; your differences will grate on your nerves and prevent you from building a true friendship. Your differences will stand as a wall between you, or they could be more like a filter through which you can't help but look at each other. Tolerance will be needed to maintain this friendship. Otherwise, you might each end up feeling misunderstood or criticized.