Surely since dominant alleles suppress the recessive then after millions o years people will slowly get more and more similar until they are nearly identical due to the slow removal of recessive alleles from our chromosomes? Would this work or since it is a 50/59 chance of each then would it work vice versa?

Not all alleles are simply either dominant or recessive. You do get instances of co-dominance. Some features are also controlled by multiple alleles. There's also the inheritance of alleles to consider so this is a lot more complicated than just dominant and recessive.

agreed and to add, new mutations (what ever their inheritance pattern) are occuring all the time.