I think several historians have agreed that there was some basis to Ken Livingstone's comments but they disagree as to the way he had interpreted the material available.
Wikepedia says "The Havaara Agreement, signed on 25 August 1933, was an agreement between Nazi Germany and Zionist German Jews to facilitate the emigration of German Jews to Palestine .... Initially Hitler criticised the Agreement but reversed his opinion and supported in the the period l937-39".
A Times Literary Supplement article of 29 April 2016 is critical of Ken Livingstone but also illustrates that Jewish people do not necessarily identify themselves as supporters of Israel:
"In December 1948, a few months after the formation of the Israeli State, Albert Einstein, who knew a thing or two about the terrible effects of right-wing politics, wrote to the New York Times to complain about one of “the most disturbing political phenomena of our times” – the new Israeli Freedom Party (also the precursor to today’s Likud), which he described as “closely akin in its organization, methods, political philosophy and social appeal to the Nazi and Fascist Parties”. There is a genuine debate to be had about the fascist strains in certain – and I stress certain – elements of early Zionist ideology, even if that ideology was born of the desire to escape oppression. But regardless of the context in which Livingstone was speaking, and apart from anything else about this sorry episode, he does us no favours at all by getting history so badly wrong."
There are a number of Jewish groups, including theTrue Torah Jews, whose views also counter the assumption that all Jewish people support Zionism:
"We are concerned that the widespread misconception that all Jews support the Zionist state and its actions endangers Jews worldwide.
"We are NOT politically motivated. We are motivated by our concern for the peace and safety of all people throughout the world including those living in the Zionist state. We support and pray for peace for the people of the Zionist state but have no interest in and do not support the Zionist government."
Is it credible to label them as anti-semitic?
On listeners' responses to Any Questions today on Radio 4, whilst some Jewish callers were critical of Ken Livingstone's comments and of the Labour Party, there were also several Jewish callers who said they were opposed to Zionism and that they abhorred the way in which legitimate criticism of Israel's behaviour was consistently being labelled as racist.
It is also incorrect to say that those who criticise Israel do not criticise other countries and their governments. I know many people in the Labour Party who are highly critical of Saudi Arabia and its government. That is not because they are anti-Arab or anti-Muslim but because they feel it is important to question the UK's continued support for Saudi (and Israel), both of whom have major human rights issues.
In the final analysis, I agree that this controversy has been deliberately whipped up to discredit the Labour Party and, in particular, Jeremy Corbyn. Naz Shah's remarks were made in 2014 and I wonder why they have been publicised just before the upcoming elections.
If my comments lead others to call me an anti-semite, then so be it, I know I am not.