FairVote Canada

Only about 27% of Israeli Jews have recent European parentage (as of 2015) and that dropped from 30% in 2008 (and dropped by about 14,000 people in absolute terms). I think if anything this shows that European Jews are either leaving Israel or otherwise not reproducing nearly as quickly as long-ancestry Israeli Jews (which grew from 37% to 44% in the same time span, an increase of 700,000 people).

Source: Wikipedia.

Furthermore, in terms of political support in Israel, the left-right split falls down largely ethnic lines:

The bases of the right-wing parties are non-dominant and low-socioeconomic-status Jews, Mizrahim, Russian immigrants, the National Religious, the ultra-Orthodox, and offspring of the Revisionists, who are more nationalistic and less liberal than the economically better off and Ashkenazi supporters of the Center-Left

Source: Oxford University Press.

So it’s pretty much exactly the opposite of your claim. The people supporting far right governments and the expansion of settlements in Israel are ethnically middle eastern Israelis or Russian-descended Jews, not European Jews or their descendants, many of whom are leaving the country or protesting against the government from within Israel.