I would suggest you go back to the drawing board :]
You have a heap of isolation exercises, the only things in there that I saw and would definately keep were military press, squats and deadlift (you do not choose between these two, you do them both! :>).
Also, and this isn't necessarily a bad thing in all cases, you have a lot of volume in there. Assuming 4 sets for your exercises, that's a lot to do in one session, although if you keep the isolation movements high you can get away with it I suppose, I'll give you dirty looks though.
Kudos to the way you split up the week, 2 on 2 off is a good way to work your gym time. I just think you need to focus more on compound movements with one or two isolation movements thrown in to supplement those.
Eg -
Monday: Rack pulls / Stiff Legged Deadlifts, Chinups, Barbell rows / Pulldowns if you can't get your back to do the work in rows, some barbell and dumbell curls to finish off if you want.
Tuesday: SQUATS<3, hack squats, leg press, calf raises
Thursday: Military press, Incline bench, dips, tricep pushdowns, throw in a set or two of close grip bench after the inclines if you want more tricep work
Friday: Deadlifts, Lunges, Calf raises
You seem to have a crapload of situps and ab related stuff in there, and yeah it's kind of overkill. Squats and Deads, done correct and heavy etc, will work your core. If you still want to throw in some stuff, for peace of mind or that extra oompf? I'd suggest doing it on tues and fri.