Not at all. We are not talking about a "declared" war situation. Not only that, the Congress has given the President the authority to deal with Iraq two-fold; the original Gulf War authorization from January 1991, along with the War on Terror authorization of September 2001.
In any event, the Constitutional questions have been satisfied. This is nothing more than political machinations. If Al Gore (shudder) were sitting in the Oval Office and contemplating an attack on Saddam, we wouldn't even be having this conversation; the GOP understands the necessity of dealing with this meglomaniac. They woulnd't use the courts to try to hamstring the Commander-In-Chief, politics notwithstanding.