"Do you ever" is about the rules you follow, and is mostly about the PRESENT and FUTURE
"Have you ever" is about your past behavior, and doesn't say anything about the present or future.
I haven't ever eaten at that restaurant, but I'd love to try it--Let's go there tomorrow!
I don't ever eat at that restaurant. My friend got food poisoning there, so I 'm afraid of it.
I used to love meat, but I became a vegetarian three years ago, and now I don't ever eat meat.
This baby hasn't ever eaten meat, but we will start feeding her meat soon, and I'm sure she will love it.