Well, we certainly won't be identical. For that to happen we'd all have to be clones. Imagine a small island community - where consanguinity might be high - you still don't end up with identical people. At worst you might note a reduced variation in height, build, hair colour etc.

My dear old mum used to have a theory that we'd all end up "coffee-coloured" and I sometimes wonder if this is true. Rationally, though, it's not going to happen because too many genes express themselves on an all-or-nothing basis.

Genetically, the reason you won't see clones everywhere is that gene variation is so enormous. I wonder if you're making the mistake of thinking, "All chimpanzees look the same, therefore humans could too". This has been dealt with in this forum previously: all chimps do not look the same.