To be honest, I understand what you are trying to do here, and I would like to see you in action in a game, but I don't like the idea of AP Warwick. Now your build isn't exactly AP Warwick, it is "everything that increases my lifesteal" Warwick, so it's not a terrible idea, but as others have said, Warwick is a dps champ, so in my opinion, he would be more effective if he built AD. Lately, I have been building Warwick for pushing, since he is so great at it now, but even with my pushing build I am able to destroy almost any champ in 1v1. With my build, I auto attack for around 250 damage, and have around 1.7 attack speed; so while hitting for 400 (and healing for 600) every 3.5 sec is nice, I hit for 500 every 1.7 sec, and still get healed for around 300 every 6 sec.
In any case, I would like to play a game with you, to see this build in action. I'd try it myself, but from what you say you do well with it, so I'd like to see it played at it's peak. I will friend you right now, and hopefully play a game with you later tonight.
*Edit* I would like to know how you burst down champs such as Udyr and Morde easier when you rely on a 3.5 sec cd spell, than you would when you rely on auto attacks. Udyr has that shield every 3 seconds, and Morde can build his shield up about every 6 seconds (I believe) with his E. So it would seem that you would burst them down better by having a constant stream of attacks rather than 1 nuke every x seconds, when they can build up their damage sponge every x seconds.