Actually, Nixon was not so stupid. He vetoed the War Powers Act on October 24, 1973. The veto was overridden by the House House (284135) and Senate (7518).
Since that time the Executive Branch has always taken a view that the act is unconstitutional and rather than saying it "complies with" says it acts "consist with" the War Powers act.
Thanks for your correction. I found it out later after posting by listening to Mark Levin. Obama may be the first President we ever had who believes that the War Powers Act is actually Constitutional.