Do we know that for certain? Maybe they have the DNA but it isn't the resulting phenotype. I.E. There is nothing preventing two brunettes from having redheaded children.

I guess I'm confused what you mean. From ancient Greek mythology "The mythological accounts describe the Minotaur as having the body of a man and the head and tail of a bull."

Minus the trail the legs should essentially be human, no? But if we go into DNA then neither have any human DNA right? Since they're their own species and should have their own DNA.