so an unconstitutional law trumps the constitution.
Show me the Supreme Court ruling that says that the Iraq War (and every other military conflict since ww2) is unconstitutional, or even illegal.
The war was started and approved through legal means (the joint resolution). You may interpret it differently, but the Supreme Court doesn't (and they are the ones tasked with interpreting constitutional law).
Your armchair
freeman style legal interpretation means exactly fuckall when it comes to how the law and constitution actually works.