Australia

I'm not sure if banning protests are going to have any effect on people doing arson attacks which are already clearly illegal.

One protest outside a synagogue which inspired this latest "ban protests" idea was one organised in response to a Technion University 100 year event[1][2] which was using The Great Synagogue Sydney as the venue:

Highlights:

• Speakers:
  • Prof. Wayne Kaplan – Technion’s Vice President for External Relations and Resource Development
  • Mr. David Weinberg – The Jerusalem Post- Israel's resilience and determination to win.
  • A special guest – a Technion graduate, sharing experiences from their recent reserve duty
• In attendance of:
  • Nova Peris OAM.
  • Distinguished Prof. Moti Segev – A world leading physicist and Israel Prize winner from Technion - Israel Institute of Technology
• Art Show: Featuring works by Avraham Vofsi, an Israeli artist, whose unique pieces reflect post October 7 feelings. Avi was born in Melbourne and was an Archibald Prize finalist in 2022.

The Great Synagogue itself published on their own news page their comments on the protest, mentioning that it was not a Great Synagogue event nor was it religious:

Protest Outside The Great Synagogue
On Wednesday night 4 December we hosted an event on behalf of Technion University in Israel to enable them to celebrate the 100th anniversary of the operation of that University. This was not a religious service nor was it a Great Synagogue event. [...]

(Their weekly news page has since been replaced with new content but search engine result snippets still had traces.)

I think the arson attack and a earlier protest that was cancelled are cited as reasons.