So many fallacies and gaps of logic in theis thread.

Pergerine, your assertion above is false, at least in the case of Brazil. Brazil many many years ago started requiring visas of US citizens becuase Brazilians needed them for the US, the charge at the time for Brazilians getting US visas was ZERO. Then the BRazilians started charging $20, so the US RECIPROCATED the fee. At that time however, way back then US citizens only got 1 year visas generally while Brazilians could get anything from a day to LIFETIME. Years later the Brazilians raised it to $40 and the US reciprocated, by that time US citizens got only a year, while Brazilians got anywhere up to 10 years and the median was FIVE, two of the next three price increases were then instigated by the US, and one by the Brazilians, along the way the validity for US citizens went up to 5 years, while for Brazilians it is up to ten years. So your facts about the reciprocity are in fact wrong and use the same sophistry maintained by Brazilian consulate officials (and Turkish ones for that matter)

Now back to the premise of the thread. OP, you do know that even if you qualified, getting an Israeli passport would cost you money, right? Also possibly years in tthe armed services, so that would be a pretty poor move.