Can I continue to do facial exercises after a facelift? Are any muscles cut/changed in a way to prevent this?

Dear bridgetshiva,
Yes you can but it may result in swelling if it is too early after surgery. There are alterations in some of the muscles that would swell. It is best that you ask your surgeon for the good time to start any exercises. 

If you want to make your facelift lose its efficacy you will do facial exercises. The muscular activity will stretch the skin out.  think about it, people with very active emotive faces have more wrinkles.