Michael Koplow says to ignore what this might mean to the peace process, because this is all about the politics of forming a governing coalition:
Bringing Livni into the coalition is not about Netanyahu signaling anything on the peace process, but about putting pressure on Naftali Bennett to join the government. The thinking on Netanyahu’s part goes as follows: he now has 37 seats lined up and getting Kadima and its 2 seats is a given, and he is on the verge of adding Shas (his real goal all along) and its 11 seats, which means that he can then turn to Bennett and Habayit Hayehudi and use their 12 seats to get past the magic number of 61. Netanyahu is gambling that once he adds Kadima and Shas, he will present Bennett with an ultimatum of joining the government or calling new elections, and that Bennett will not be able to withstand the pressure ensuing from calls for him to join a rightwing coalition and so he will crack. Essentially, Netanyahu is betting on Bennett’s alliance with Yair Lapid and Yesh Atid not being strong enough to buck the rightwing nationalist forces in HH who want to band together with Likud and the religious forces in HH who don’t see why serving in a government with Shas is the end of the world. Hence the immediate rumors that negotiations with Shas are proceeding and that it too will join the coalition imminently.
Koplow thinks this effort will fail. Given what's at stake is substantial reform (drafting ultra-Orthodox into the military), let's hope not.