Hmm....It's an interesting theory, but I don't see every bit of that being right. The Alice in Wonderland theme I had thought about and forgot when Big Mom was introduced and it was nice being reminded about that again. The whole card theme I don't see it being likely. For Oda to have such a big twist like that and basing it off of something lame would be a disappointment to me. I can see Joker being very similar to the Joker in Batman however, and Oda wanting to make reference to him being an awesome bad guy. They have a lot of similarities. The whole card thing could be a possibility. Baby "5" could be a member of the number association with the playing cards. Maybe he has 13 members, 2 through Ace, and the "Joker" is the boss. Maybe the "Ace", Law, was the strongest member at that time too before he left.
Idk. I can see part of it working, just not all of it. I really doubt the royal families are associated with a deck of cards. I'm not sure how Jack fits into all of this as well. Maybe the Yonkou are the face cards, and maybe its "Jack" Kaidou? Big Mom could be the Queen? Seems a bit out there.