I'll preface this by saying this is based on the first team roster listed on fulhamfc.com without knowing when players' contracts are up.
I still see that little weasel BHR on the roster, so that would be the first player I'd ship. I'd keep Duff and move Davies, even if Damien is a year older. Etuhu looks to be surplus.
In this 4-2-3-1 formation, AJ is actually pretty useful out wide and working the channel as one of the attack mids. I'd rather see him coming off the bench, but if you can re-sign him for the right price, he's still got value for us. Better than letting him go for free. Won't happen, but it wouldn't hurt my feelings if we moved Ruiz.
I'm not sold on Senderos and less so on a Senderos/Hangeland pairing. Ideally, I think you need someone pacier and more athletic to partner Brede, not clumsier and slower. Unfortunately, Hughes looks like he's just about past it. Grygera and Halliche look expendable. I'd love to see us upgrade rb which means you'd have to look at moving Baird or Kelly. Same with lb and moving JA Riise (assuming you keep Briggs as the backup as opposed to loaning him out).
As for Mark, it would depend on how much longer he plans on playing. If he's looking at hanging up the boots after next year, I'd keep him and let him go out Fulham. If he plans on playing beyond that, then I'd go ahead and move him and transition to Stockdale next season.
I would only move Dempsey and Dembele if the money was too much to pass up (15M+). And that's still probably too low for Dempsey. Do we know when we'll find out about whether we get to buy the option on Pog or not? If we have to buy another striker to replace him, then I'd be more inclined to sell either Dempsey or Dembele, depending on who I could bring in.