Speaking to BBC Radio Kent, Mr McDonnell said he wanted "an acceptance of the IHRA definition and examples" but also "freedom of speech so people are free to criticise Israel and its policies, free to advocate the rights of the Palestinians, but at the same time make sure it's done in language that's acceptable".
He insisted the Labour leader must "recant and repent" and that he risked engulfing the country "in the flames of hatred".
Labour's ruling body will decide whether to fully adopt an global definition of anti-Semitism as the row over the party's response to the problem continued to simmer.
Jewish communal organizations believe that any such caveat will be created to permit the kind of anti-Zionist rhetoric that has morphed into antisemitism which has so plagued the Labour Party in recent years, including among its leadership and party leader Jeremy Corbyn.
Commenting on the situation, brown said: "This is a real and present problem, and that something must be dealt with now.
I know of no other occasion in these 362 years where. the majority of our community are asking if this country safe to bring up our children", Sacks, who was chief rabbi from 1991 to 2013 told the BBC.
Meanwhile, the Labour leader has said Field did not have to resign the Labour whip over the anti-Semitism row.
In addition, Corbin is accused of anti-Semitism in leftist circles.
"It might have been enough three months ago, it might have just enabled us all to start talking to each other and bring trust again, but I think that moment has passed", she said.
To guide IHRA in its work, the following examples may serve as illustrations: Manifestations might include the targeting of the state of Israel, conceived as a Jewish collectivity.
Denny Taylor, spokesperson for Labour Against Anti-Semitism, said: "The election of the '#JC9' slate by Labour members to the party's NEC raises further concerns about institutional anti-Semitism in the party".
McDonnell predicted all sides would be "satisfied" with the proposals agreed Tuesday.
"I called him an anti-Semitic racist in July and everything that's come out since then has confirmed my belief that I'm right", she said.
Dame Louise, along with fellow Jewish Labour MP Luciana Berger, told conference delegates of the abuse they have faced, some of it from party members, including being told that "we don't have human blood".
Online however, vocal Corbyn supporters have opposed the adoption, even on a temporary basis, and say the party should continue with the status quo whilst it carries out better engagement with the Jewish and Palestinian community to find a more permanent solution.
He said: "When people hear the kind of language that has been coming out of Labour, that's been brought to the surface among Jeremy Corbyn's earlier speeches, they can not but feel an existential threat".
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