Are birds really reptiles?

Birds have scales on their legs and feet.

Trivial point, but I make it only partly because I am so pedantic. The other reason is that I’ve seen the young-earth creationist argument “birds can’t be descended from reptiles/dinosaurs – have you ever seen a bird with both feathers and scales?” I really did read that. I wanted to respond, “Walk into a pet store and take a close look at the parakeets!” Young earth creationists are wrong, but we’re all often wrong about things. My frustration is, there are more intelligent ways to be wrong about this.