Members from two of the coalition partners in the Israeli government have submitted bills to reform various aspects of governance.
The first, from Yisrael Beiteinu, would keep the current requirement for an absolute majority (61/120) to remove a government via a vote of no-confidence, but not allow such a motion even to be debated until signed by 61 MKs.
The second, from Yesh Atid, would require 65 votes to remove a government. (It is not clear what the minimum number of signers would be for the motion to go to the Knesset agenda.)
Both bills propose raising the electoral threshold to 4% (from 2%), and mandating a maximum size of the cabinet, including limits on deputy ministers.
In support of the Yesh Atid bill, sponsor Ronen Hoffman says, “The adoption of the procedure means a government can only be overthrown once a realistic, serious alternative is in place.”
Actually, this could be accomplished without requiring more than 50%+1 votes. Why not a constructive vote of no-confidence, whereby a government can be removed only if a majority (61/120) of legislators votes affirmatively for an alternative prime minister (or full cabinet)?*
If forced to choose between these two options, I would actually take the Yisrael Beiteinu one. However, while raising the minimum number of sponsors of a no-confidence motion seems sensible, raising it all the way to 50%+1 is unnecessary. I do not know what the highest currently used in any parliamentary democracy is, but I think more on the order of 25%.** Speaking of parliamentary systems, if it takes more than 50%+1 to remove a government, the system fails to meet the basic criterion of such a system: the accountability of government to parliament–the majority of parliament.
* Israel adopted a weak form of constructive vote about a decade ago, but a motion must only name a candidate to be PM, not actually invest a new PM, as is the case with full constructive votes in Germany, Spain, and elsewhere.
** The linked news item says that currently, “any faction” may propose a motion, which is debated. That’s too low a requirement!