Several anti-creationists have made a hobby out of attacking creationists. Their best efforts, however, have generally failed. For example, see:

Unperturbed, “Gutsick Gibbon” has recently tried to discredit Dr Jeffrey Tomkins and his work on human-chimp genetic similarities:

In my analysis of her analysis, I note several flaws in her logic. Note, however, that I deliberately ignored several of her main objections. This was not because I do not have answers, mind you, but because I wanted to focus on the most salient questions. Ignored were questions about why God would have included all the chimp-like non-coding DNA when he made humans and questions about properly weighting samples.

The most recent comparison I am aware of claimed 96.6% similarity between humans and chimps:

This comes from the laboratory of Richard Buggs. This is much higher than Tomkins’ estimates, that, with one exception, are generally in the 80s. However, I know the first author on that paper, so I called him up to discuss his methods. Sure enough, he used entirely different methodology than earlier work from that same laboratory (which arrived at an estimate of ~85%). To reach the higher percentage similarity, they cut out everything humans and chimps do not share, including the centromeres, telomeres, copy number variations of many annotated genes, and hundreds of thousands of small insertions and deletions that must be included to align the two genomes. This “apples to apples” comparison is fine, as long as everybody acknowledges that the true similarity is necessarily less than 96.6%. Yet, if the percent similarity is much less than 99%, there is no way, mathematically, to explain how so many millions of difference arose in the (imagined) 6.5 million years since our last common ancestor.

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