I thought about this too. First, one needs to realize there isn't a single 'vaccine'. Even among pfizer and moderna, there are different vaccine variants that include varying degrees of the mRNA (source: Naomi Wolf) so it's not unreasonable to believe different countries received different vaccines. It's very plausible that you and your neighbor both got different 'vaccine recipes' even though you both have the moderna shot.

(Less lethal vaccines go to israel, more lethal go to America.)

My theory, that needs to be proven/disproven is that Israel fake-vaxxed itself. Either through the above mentioned scenario or simply injecting saline. I recall seeing a chart that was post-vaccination fertility rate where israel was a single outlier amongst the declining nations.

I'm definitely open to ideas/discussion.