Here’s a better idea: Israel nationalizes all holy sites.
It does this to eliminate the claims of any religion or nation to ownership of sovereign land in Israel other than embassies. Importantly, the government of Israel can then be quite liberal with its terms for “leased use” of such holy sites.
However, if a group currently leasing a site creates a public nuisance or engages in disruptive behavior, they might lose their lease, and the *administration* of that holy site would be turned over to someone else who is not pestiferous.
As an example, say the al-Asqa mosque is run by a Wahhabi faction that encourages a public riot. The Israelis could take away their rights to administer that mosque, and turn them over to, say, the Sufi sect of Islam, that of late has been more orderly and pacifist.
Even the suggestion of this would frighten the Wahhabi sect into incontinence. It is similar to the threat used by the Saud family of Saudi Arabia, when the Wahhabis who run half the country get too ambitious about displacing the Saud. The Saud just suggest that the Sufi might be better administrators than the Wahhabis. This shuts the hot heads right up.
So, what’s not to like? As sovereign Israeli property, the Israelis could declare that such holy sites are no longer “World Heritage Sites”, so they would no longer be immune from demolition if they became problematic to Israel.
This would clear the path for Israel, so that it could issue the threat that if ever again attacked by an Islamic nation, all Muslim holy sites in Israel would be permanently abolished. Razed, and rebuilt as Jewish holy sites.
Slight change of approach ... award the site access, management and control over the cost for visitation to the highest bidder for a two year lease sold as a public auction with full disclosure of the bids.
Restrictions or forfeture of the lease can be caused by failure to protect the site from damage, incitement to riot or hatred, etc.