From your link;
The prime minister's sudden turnaround toward victory took place after an 11th-hour effort to appeal to nationalist Israelis by pledging not to support an independent Palestinian state, and by warning voters of Arab citizens being bused to the polls in "droves" by left-wing organizations — comments that drew rebukes from Israeli Arabs and the White House.
What are the odds that there is a growing "Arab citizens" demographic in Israel?
The fearmongering by the extreme far right in Israel looks pretty much identical to the fearmongering by the extreme far right in this nation where there is a growing "Hispanic citizens" demographic.
So yes, Israel probably does have a "similar problem" but it isn't what you believe it is because you are part of the problem rather than the solution.
These demographic changes will inevitably side with the political parties that welcome them and offer to help them assimilate and become part of the future of these nations.
The fear based extreme right is fighting a losing battle that it cannot win either here or in Israel.