Already know I'll be looping this one for a while...
The rapping is pretty tight, but I agree that it is a little abrupt not only because of how late it comes in, but the stuff that you hear before it doesn't really indicate anything is coming. For example, it might've fit better sooner after the break at 3:01.
And then it disappears as quickly as it appeared. An extra verse would've been appreciated. It also sounds very "close," which probably isn't a bad thing, it just caught me off guard.
Overall, very impressed by this remix, and hoping you'll do more. It's only a matter of time before we see a YouTube of this over the House, M.D. intro.