You are here again with half truths.
ALL mammals, that includes apes, mice & cats, share a core set of genes.
These genes code cell structure, organ development, metabolism, etc.
This is where you are getting misled, DNA similarity isn't just about what genes you have, it's about it's structure.
An ape or a monkey aren't just similar in genes like a cat and all other mammals, they are far more similar in the structure of their genes.
It's like saying a lawn mower is just as close to being a motorbike than a quad is, just because they share many of the basic parts.