This doesn't follow since in a creationist view it is possible that the more similar the animals, the more similar their DNA.
However, one can make a very strong argument for evolution by looking at non-functional parts of DNA. For example, our DNA contains a program for producing vitamin C but it doesn't work. A similar program in other animals does work.
Interesting - I haven't heard about non-functional vitamin C-producing program before... Could you point to an article/book with some details about it?
