Making the player play a full game of War to get to the abilities is a bold strategy. I'd maybe consider a few scripted hands to show how things work, I spent nearly 15 minutes clicking through that first game before finally losing. I'm glad I did though, because I like your other girl designs, and the abilities add much needed interactivity to the game.
I'm not sure if its intentional, but using the Equals ability into the +3 at the end of the war let me slice through the entire rest of the game in less time than the first game, while I'm not sure when I'd ever use the switch ability, as I'm not planning on card counting in War.
I'd suggest adding some abilities such as "look at the top card of your deck, choose to discard or not", or "force opponent to redraw their card". Some happiness/sadness facial expressions for when the girls win/lose wouldn't go astray either.
War is a pretty good template to build a small card game from, don't be afraid to bend the game as far as you can.