Maybe this article will clarify the vaccination requirements. Individual tourists are allowed in from November 1.
Many Israelis got their 2nd shots of Pfizer back in January. We started giving boosters in late July because there was a big increase in Covid cases among the vaccinated - including a significant number of severe cases and some deaths among the vaxxed. I haven't checked the numbers recently but a very large percentage of the population have received boosters. I got my first shot in December and my booster in early August. My current "green pass" is valid for 6 months from the booster date. What will be in February when my 6 months are up, no one can tell.
There are other hoops to go through. You have to have a PCR test within 72 hours of your incoming flight departure, then get another PCR test at the airport when you arrive. You then have to quarantine until you get the result - I just got back from Budapest on Sunday and got my negative test result after about 11 hours. You also have to fill out an online health declaration within 24 hours of your flight. After you do that, you're given a link to prepay the PCR test on arrival. It costs 80 shekels ($25).