It's a given that support wouldn't be there in the house
I respectfully disagree. I think support will be there in the house after some backroom deals are made. It will be a bacon-fest in the back rooms of the House this week if you know what I mean.
That said, if there is no support, and Obama goes at it alone, he really is hanging his legacy on the line. If it goes bad, I think there is a strong chance the democrats lose the Senate and lose seats in the House, no matter the media spin.
Bad is a relative term. Like, it doesn't have to mean igniting a war. It could mean a special forces unit getting taken out trying to secure chem-weapons caches.