I've heard "one or the other"...never bought it with my ferrets, but never did it with my dogs. One or the other.
Sabo had soft serve poop on kibble. Didn't matter what kind. Raw straightened that out right away. Until he got giardia, but that's not raw related.
I'd ditch the cheese and broccoli. Start removing one thing at a time. and see what helps it get better.