This is the key. Rangel is trying to conflate support for the war with support for a draft. It's the most blatant kind of dishonesty, but he believes the American people are dim enough to believe it.
In the supremely unlikely event he passes a draft law and the President signs it, I assume the military won't bother to induct any draftees, except perhaps for the very tiny number of medical professionals or linguists who are randomly selected. There simply isn't a need, and we don't have the training facilities, materiel, and personnel to deal with a great influx of recruits. Unless required by law, the military is still in charge of who it hires and into what capacity; if the officers at MEPS simply decline to sign off on the paperwork for every draftee they see, that would sink the "draft" right quick, wouldn't it?.
Of course, the logistical and doctrinal details of a draft don't really matter, because Rangel doesn't intend for there to be a draft. He's trying to tie this lead draft balloon to the War on Terror so he can watch both sink.
"Show me just what Mohammed brought that was new, and there you will find things only evil and inhuman, such as his command to spread by the sword the faith he preached." -Manuel II Paleologus