On Sunday, Netanyahu's government votes on two bills designed to shore up support for Israel as a Jewish state.
At the White House meeting Monday, the Israeli leader emphasized the threat from Iran.
How will the partnership between Israel's newest political odd couple works out?
Livni and Netanyahu are each vying to form a coalition. Soldiers' ballots did not change the outcome.
In a country divided between the centrist Kadima and hawkish Likud parties, a new kingmaker emerges from the far right.
Benjamin Netanyahu, the Likud party hawk, leads in polls ahead of Tuesday's parliamentary election.