Mr Dizaei said Mr al-Baghdadi then attempted to assault him again when he had him in handcuffs.
Mr Dizaei said he warned Mr al-Baghdadi that if he did not stop he would get into trouble.
But al-Joulani distanced himself from al-Baghdadi's message, saying it took al-Nusra off guard.
The policeman said Mr al-Baghdadi began to swear and became more aggressive with his face "inches away" from Mrs Dizaei.
The court heard that Mr al-Baghdadi was alleged to have struck Mr Dizaei was the mouthpiece of a shisha pipe.
Caldwell said it is not known who al-Baghdadi is or whether he exists, and Iraqis may have mistaken al-Jubouri for al-Baghdadi.
Dizaei was first convicted in 2010 over the attack on web designer Waad al-Baghdadi in Kensington and was jailed for four years.
Mr Dizaei said Waad al-Baghdadi, who had designed a website for him, swore at him through an open car window and "frightened" his wife.
He denied allegations that he had used excessive force against Mr al-Baghdadi or that he had warned him that he would ruin his life.
His QC Stephen Riordan said the conviction was "unsafe" as the judge had not allowed certain "bad character" evidence relating to the businessman, Waad al-Baghdadi.
Dizaei's QC Stephen Riordan had said the conviction was "unsafe" as the judge had not allowed certain "bad character" evidence relating to the businessman, Waad al-Baghdadi.
Mr Dizaei said Mr al-Baghdadi continued to threaten him, using a Farsi expression, which translated as "I'm going to get the money out of your throat".
He added that the evidence the team had wanted to use included allegations that Mr al-Baghdadi had a propensity to "threaten violence and a propensity to use it".
Sadr's supposed arch-foe, Abu Omar al-Baghdadi, who leads al-Qaida in Iraq and whose operational commanders are in Iran, responded to his death by calling for attacks against Israel.
Al-Baghdadi al-Mahmoudi was handed over to prison officials in Tripoli, said the official, who asked not to be named as he is not authorized to speak to the media.
The jury heard that after Mr Dizaei told Mr al-Baghdadi he "wasn't interested" in him working on the website anymore Mr al-Baghdadi sent him "unpleasant" messages, to which he did not respond.
But he added the firm "has potentially discovered fresh evidence" relating to Mr al-Baghdadi "which the Court of Appeal did not consider and the case will now be referred to the Criminal Cases Review Commission".
In a 21-minute audio clip posted on militant websites late Monday, al Qaeda in Iraq leader Abu Bakr al-Baghdadi said his group was providing half of its budget to the conflict in Syria and that al Nusra whose leaders are generally unknown won't have a separate leader.
Sheikh al-Baghdadi, the leader of al Qaeda in Iraq, said that he had delayed the announcement of the formal merger with al-Nusra because he wanted to allow Syrians time to get to know al-Nusra on its own terms, without the inherent negative bias that would be caused by an early announcement of its ties to al Qaeda.
"The only rallies that came out on the streets in the last few days were those supporting the leadership of the country, " Baghdadi Al-Mahmoudi said.
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