Probably, he'll say: 'we're taking the sequester, as is, or you drop all future debt ceiling hostage taking."
The GOP will get smashed: first, the vast majority of the sequester cuts are in GOP districts, and those jobs will never come back.
Second, if the debt ceiling is crashed, the economy dives, and the GOP loses again. No one is going to blame Obama. The GOP is swept out, and by 2016, the economy is booming. It gives Hilary 8 years of 100% Dem congress.
By 2024 all vestiges of GOP idiocy will be off the law books and out of the Supreme Court.
None of it really matters anymore. By the time Obama is out of office, the USA will have either started defaulting on debts, or inflation will be so high as a result of printing money that we won't have an economy to worry about.