As weird as it sounds, you can avoid a lot of Disney things. You can avoid character meet and greets, hang out in the clubs, see movies, and so forth. The Disney service is there, but it is not like it is in the parks all in your face. I haven’t been on RCL, but we enjoy the ambiance, service, and quality of DCL. Feel free to ask more questions.For me the biggest reason for thinking RCI is the two 17 year olds that will be with us, plus the husband and son aren't big Disney People. Ugh, I was really wanting DCL for the customer service and dining. I've looked into hidden costs on RCI but still think the boys would enjoy it more. When it is just husband and I there will be no question but for now I'm still a little unsure.
As of now the only thing from stopping me switching to RCI completely is the 4 day itinerary out of Miami. It stops at 3 ports so it would be a busy cruise and they wouldn't have time to be bored.