The Israeli election always seems to have a new party or two show up on radar, and two new ones could factor into the governing equation. Likud has 31 seats and a centrist Yesh Atid has 19; coupled with a Jewish Home pro-settlement party's 11, and the trio has 61 seats, just enough to make a majority.
The interesting aspect of Yesh Atid is their desire to see everyone serve in the military and end seminary exemptions. A lot of the haredi ("ultra-Orthodox" is the common pejoritive for them) men spend most of their lives as Torah-students, living on government stipends and avoiding the otherwise-universal requiment to serve. The secular-leaning folks in Yesh Atid are moving to at least make them do their stint in the military.
That would make them poor matches for some of the religious parties like Shas, who champions the poorer Jews who have Arab-country heritage rather than European/US heritage. A center-right but secular coalition could be free to ignore those parties and make Israel a bit less easy to be a devout rabbi-in-training keeping the world at bay.
It might also have some effect on ongoing issues over accepting non-Orthodox Jews as immigrants and citizens; most American Jews are to the left of the Orthodox leaders in Israel who sign off on whether a person is Jewish enough to immigrate to Israel, which is an friction point between Conservative (center-left) and Reform (hard left) Americans Jews and Israel.