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 Stoping the proliferation of nuclear weapons is of strategic interest to all countries with active nuclear weapons programs irrespective of whether or not Iran was a threat in the 60s or if Israel had a specific target for it's nukes.

I'm not saying Israel doesn't have the ability to build nukes, of course they do, as does Iran.  I'm saying they voluntarily stopped and took a deal from the US to not continue in exchange for a secret defense agreement.... but they didn't shut down the program, they just froze it, so they could continue if that deal somehow ever fell apart and as leverage to force the US to keep defending them.

But it's just a hypothesis.  Everybody in all political camps seems to think Israel has nuclear weapons, so it is a minority hypothesis.  This last week's intelligence leak gave it a bit more credibility though which is why I mention it now. 
 even if not true, your hypothesis has the merit of rethinking 'estabilished facts'.  

It is clear that lack of knowledge is not the problem. Also, although Israel never had the hability of run something on the original Manhattan Project scale, the industrial effort of building an A-Bomb become much smaller with tech advances and experience. Building a bomb in the 60's must have been much easier than in the 40's, and quite more difficult than today.

So, the most relevant issue to answer "could Israel build A-bombs' in the 60's" is: given 60's tech, how much industrial effort, $  and U ore would be needed to build a few dozens of bombs? Would that be achievable or it looks like a bluff? I do not know enough to answer. 

Today Iran has all the drama with centrifugues, cyber attacks and so on. It is not THAT easy. 

Iran is relatively competent. Do you know it is on top 30 countries in robotics papers? 
https://www.researchgate.net/figure/RESEARCH-OUTPUT-BY-COUNTRIES-ON-ROBOTIC-TECHNOLOGY_tbl2_324829090 


 
 I recently heard Iran is world #1 in ultra high performance concrete.  I guess for their bunkers they need it to defeat bunker buster munitions, and also they get a lot of earthquakes.