Interesting. I have a good friend who is my look-a-like. And my dad is also my look-a-like. I've always had a good relationship with my dad. We have moments of great connection and also times when it was clear that he didn't quite "get" me. But I think that my current friendship with my look-a-like feels very familiar to me because of the fact that my dad was the same personality and thus I know what to expect and I can sort of be in that mode when I'm with him. I would probably not recommend it as a romantic relationship but I think a friendship with your look-a-like can be great. It feels comfortable, supportive and fairly understanding (although not 100%).