“what can Obama do if Bibi doesn’t resume talks?”
Sanctions, no-fly-zones, cut off spares and support for military hardware we sold them, blockade, cut funding, war.
You nailed it. It will follow the pattern done in Libya, and rely on air strikes, with those international troops in Jerusalem.
The absolute worst and most insane scenario would be is Obama orders bombing of an Israeli nuclear plant, and claim they were never told it existed - then blame Israel for the region wide humanitarian crises it would cause.