The list isn't rubbish, but it won't be winning any big tournaments, although you can just blame the codex for that if you want.
Sounds awesome, and is awesome in fluff but it doesnt take advantage of the demon prince's capabilities. The best CC prince I would say is MoN (of MoT depending on your preferences) and warptime. That being said a MoK prince is cheaper so it's not a terrible idea.
2x8xbezerkers with2 plasma pistols and rhino
6xplague marines with 2 plasma guns and rhino
Oh dear. You need power weapons/fists. bezerkers are near useless without some kind of special CC weapon, it's also important for the PMs. Melta guns on the plague marines is also a good idea since you are lacking much needed anti tank. IMO the best way to go about it is like this:
2X 8 bezerkers - champion with power weapon and melta bombs, rhino with EA
7 Plague marines - 2 melta guns, champion with power fist, rhino with EA
5xbikers with MoN and 2 plasma guns
Some people swear by bikers, I just don't see them pulling their weight. If you want to stick with them then swap the plasmas out for meltas again for that required anti tank and get a powerfist or something in there. Just remember that just about every unit in the chaos codex should have some kind of armour ignoring piece of CC in it.
2xdefilers with havoc
If you fire the battle cannon you can't fire anything else so there is really no point in the havoc launchers. Give them both 2 extra CC arms so that if the battle cannon gets blown up they can get run up and get into CC and get some extra attacks.
vindicator with daemonic posseion
A+, although something with lash of submission would just make it so much more awesome. Lashing nice pricey units together and hitting them with a demolisher cannon and battle cannons from the defilers would just be hilarious, maybe you should consider something with lash to really take advantage of all you pie plates.