Organisers of Saturday's protest, Defend Our Juries, had been asked to reconsider their plans following the killing of two men at the Heaton Park Hebrew Congregation synagogue on Yom Kippur - the holiest day in the Jewish religious calendar.
But organisers said in a statement beforehand it hoped police "choose to prioritise protecting the public from real terrorism, and not waste resources on enforcing the absurd and ridiculous ban on Palestine Action".
Former Tory MP and minister Dame Penny Mordaunt, who co-wrote a cross-party report on antisemitism, said there was "no doubt" some people at the rallies were "violent antisemites stirring up hatred", while Conservative Tees Valley mayor Ben Houchen said those standing alongside them were "useful idiots".
Labour MP Lucy Powell called for a "tougher regulatory regime" to stop the spread of antisemitism online, where she said the spread was phenomenal.
Adrian Daulby and Melvin Cravitz were killed after Jihad Al-Shamie drove a car into people outside synagogue in Manchester.
Al-Shamie then tried to force his way into the building before being shot dead by armed police. Three others were injured in the attack.
Several arrests have been made in relation to the attack and Mahmood said four people remained in custody on Sunday morning.
The home secretary will write to chief constables on Sunday to encourage them to use all their powers to prevent and respond to public disorder, as well as thanking them for their response following Thursday's attack.
Police forces are working with the Community Security Trust, a charity which works to protect Jewish people from terror and antisemitism, to reassure the Jewish community, the home office said.
On Sunday, the Board of Deputies of British Jews is holding a commemorative event ahead of Tuesday's second anniversary of the 7 October attacks on southern Israel, in which about 1,200 people were killed and 251 others were taken hostage.
The group has welcomed the government's move to increase police powers and described recent protests as "deeply irresponsible and offensive".
[SRC] https://www.bbc.co.uk/news/articles/c24rmdngrrjo