His signature on the paper is absolutely meaningless unless the Senate ratifies the treaty. IIRC, ratification will take a 2/3 majority and I would hope would be impossible to achieve.
Hope is not a stategy let alone a plan for mobilization & battle. Get active get in touch with your Congresscritter they see the light when they start feeling the heat.
My understanding is that it takes a 2/3 majority vote of who is in attendance for the vote. So if O wants to push it through he can covertly schedule the vote....
I wouldn’t put it past him...