President Barack Obama (D-IL) / Vice President Joe Biden (D-DE) ✓ EV: 403 PV: 135 51.5%
Congresswoman Michele Bachmann (R-MN) / Governor Mitch Daniels (R-IN) EV: 135 PV: 39.1%
Governor Gary Johnson (L)-New Mexico/Ambassador Jon Huntsman 8.9%
Whatever one thinks of Trump he did have some crossover appeal and was running against a uniquely unpopular opponent. Michelle Bachmann had none. She'd basically alienate every faction of the GOP other then the religious right and you get a #NeverBachmann Republican movement with many abandoning ship to vote for Gary Johnson who polls well enough to be included in the debates. Obama makes the gains that Hillary would in the suburbs four years later but without her corresponding losses in the rust belt.
FYI: My rationale for giving Obama the Dakotas and Montana while losing South Carolina despite having lost them by a wider margin in OTL is that I think the South Carolina GOP vote is more inelastic and any minor gains Obama would make their would be cancelled out by more fervent religious right support for Bachmann and her gaining votes that Romney likely lost due to his Mormonism.