Three other men on Dubai's list offered similar accounts to Israeli television stations and websites. Most shared a profile of having immigrated to Israel from English-speaking countries and had dual national identities.
"I don't know what to say. It's a mistaken or stolen identity, it's not me, that's for sure," Michael Lawrence Barney said in a televised interview.
Stephen Hodes, another recent immigrant to the Jewish state, said: "I am in total shock. I don't know how they reached me. The photographs are not of me, of course...I'm mortified."
Prime Minister Gordon Brown today promised full investigation. "We have got to carry out a full investigation into this. The British passport is an important document that has got to be held with care," he told London's LBC Radio.
"The evidence has got to be assembled about what has actually happened and how it happened and why it happened and it is necessary for us to accumulate that evidence before we can make statements."
The Palestinian militant group Hamas has blamed Israel for the assassination that took place in a luxury hotel in the Gulf emirate, and Dubai police have said they could not rule out Israeli involvement.
Israel's foreign minister has said that the use of identities of foreign-born Israelis did not prove the Mossad spy agency assassinated him.
"There is no reason to think that it was the Israeli Mossad, and not some other intelligence service or country up to some mischief," Avigdor Lieberman told Army Radio.
Amir Oren, from Haaretz newspaper in Tel Aviv, has told Channel 4 News: If we go with foreign minister Lieberman's insistence that Israel remain ambiguous about it - presumably to get some deterrants out of the assumption that Israel did it - we can assume without any confirmation that Israel may indeed have been involved in this matter.
"If we proceed from this assumption, then, apparently, it was intended to be a silent operation, so to speak, meant to portray the late Mr M as having suffered a heart attack and then collapsed in his room behind closed doors, and then found dead of natural causes.
"In that case there would have been no investigation and no tracing back of any assassination squad.
"Only when suspicion arose in Dubai, only then were the identities and passports and photos depicted in a way that is now seen in Israel as a blunder.
He added: "There has been a remarkable shift in public opinion over the last 24 hours.
"At first when the Dubai police showed their remarkable Oceans Eleven sort of film regarding the hit, the Israeli public applauded the professionalism displayed by the presumably Israeli squad, but then when it turned out that these identities were, if not stolen, at least borrowed and then returned to the innocent people involved, then questions emerged.
"As we speak now, while the Israelis believe that it is right for Israel to go after Hamas terrorists such as M, nevertheless it wasn't necessarily cost effective."
Dubai police said the killers were disguised in wigs, hats, sunglasses and tennis outfits and used an electronic device to break into Mabhou's hotel room and lie in wait for their target.
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