Using genotype to determine rights is a little counterintuitive when actually put into practice. For example, IIRC most animals share at least 90% of the same genes as humans.

Do we conclude that all animals have 90% of the same rights as humans? Or do we reject genes as a basis of rights?

Hmmm.. this article is relevant:
CNN.com - Mice, men share 99 percent of genes - Dec. 4, 2002