It's not likely you'll find much in common as friends. Your buddy may assume all kinds of things about you based on scant information, and their ultimate image of you will likely be incorrect. It's not so much that they'll project things onto you; it's more that they just won't really get you, at an important heart-and-soul level.
For one thing, they'll be too busy trying to analyze you and codify your responses into some sort of logical form to pay attention to who you truly are. This, in turn, could make you feel very mistrustful or resentful of them. Making this friendship last will take lots of careful communication; you'll both have to listen with your ears, eyes and heart when your friend tries to tell you about who they are.