I've always thought Mexican cuisine had a lot of the same style as Italy. Not that they influenced each other or tasted the same but how they handled the same kinds of food issues in similar ways. The focus on beans and starch, pasta for italy and tortilla for Mexico.
I think of a casserole of enchiladas as the same style of solution as a lasagne for example.
Salsa to tomato sauce as a broad comparison and some similar uses.
And the oregano of course!
No one ever agrees with me on this though.
Phil