I very strongly advise you not to try it. It would be a close call for any trans-Atlantic flight on any airline. With LY it is truly playing with fire. El Al Security is not going to agree to being rushed and it can sometimes take a surprisingly long time.

Last month I flew LY MXP-TLV in Business Class and, for some reason which I still do not understand, Security was not satisfied with my Israeli passport. I was asked if I had another, I told him that I have an American passport, they asked to see it and then took both passports to a table about 20 meters away and checked the two of them in some way.

Given the fact that after you finish with Security, you have to check in, go through the TSA line (and neither of us knows how long that will take) and then walk to your gate you may well find that you arrived after the doors were shut.