You assumption is based on the claim that one species came from another. But since evolutionists ignore the fact that most species have to have the following characteristics in order to survive in the world that God created, then they leap to the erroneous and impossible conclusion that one species bred another species which is IMPOSSIBLE as anyone who udnerstands the birds and the bees knows. So most species have to have:
1)A heart
2)lungs
3)Some form of digestive system
4)A brain
5)A circulatory system
6) A nervous system
7) An endocrine system
8) 4 limbs
9) 2 eyes, 2 ears, a nose and a mouth
10) A reproductive system
And many, many, other similar characteristics, then their DNA is going to be much more similar than different. In fact, all one has to udnerstand is the reproductive system to see how impossible it is for one species to breed another species. Then they won't make the wrong conclusion about the similarities between animals and humans.
And more importantly, there are no historic accounts of ancient peoples who talk about their ancestors being apes ANYWHERE in the world. But there are accounts of over 300 cultures describing a global flood where only one family lived.
So claiming that the genes of animals being passed down exculdes the possibility of a flood is as ludicrous as claiming that there couldn't have been a flood since King Kong couldn't have then passed his genes along to my neighbor.