You get a 30 day withdrawal period, that in effect gives you 90 days. His legal analysis and the analysis of not all but some in the Justice Department is that NATO operations in Libya, to the extent we're involved, don't constitute hostilities. The law is not clear on what "hostilities" are. For all your argument otherwise, this is gospel unless the Supreme Court rules it otherwise, or Congress modifies the War Powers Act. I'm not saying you're wrong, I'm saying this isn't exactly settled law. The kicker will be if drone attacks constitute hostilities, and that's not as clear cut as you would think. Consider that we've been using drones in Yemen for years now without any sort of the fuss this is causing, and the administration can easily make the case that this kind of mission is similar. Ghadaffi is wanted for war crimes and basically the whole world considers him a pariah, he was responsible for actual terrorist attacks against US citizens and is generally perceived as illegitimate. Those views and facts to me constitute a plausible, if not rock solid, case that the use of drone strikes on select targets and logistical support for the other countries involved in the NATO mission as not necessarily "hostile" as defined by the War Powers Act. Yes it's unilateral on the part of the President but until the Supreme Court puts a check on this, years down the line, the President is within his rights as the Commander-in-Chief to interpret the law as such.
That's not me trying to confuse the facts, that's me trying to put them into context of reality.