The budget will likely be approved in parliament. Netanyahu has a solid majority and his partners are not interested in triggering elections. I'd be very surprised if that wasn't the case. Netanyahu survived many worse political crisis. I'll be happy to see him gone but he always pulls out some magic trick from his hat. The biggest factor will be whether the Arab parties will unite and actually get their people to go and vote. That they didn't in the last elections is how Bibi got to form the government again. Even if that happens this becomes tricky because you'll likely end up with a minority government.

90 days vs. October isn't that much of a difference either and a lot can change in 90 days.