The first source was garbage. The second one appeared to be incomplete. Your first one is so bad it effectively refutes you. But let's go over the claims of the second one, which were as I said incomplete. Here is a better source:
Highly Vaccinated Israel Is Seeing A Dramatic Surge In New COVID Cases. Here's Why
2. The delta variant broke through the vaccine's waning protection.
It was a perfect storm: The vaccine's waning protection came around the same time the more infectious delta variant arrived in Israel this summer. Delta accounts for nearly all infections in Israel today.
"The most influential event was so many people who went abroad in the summer — vacations — and brought the delta variant very, very quickly to Israel," said Siegal Sadetzki, a former public health director in Israel's Health Ministry.
New variations are a problem with any vaccine. That is why we need annual flu shots. The disease evolves every year. The flu has a well developed cycle. If we can avoid that with Covid wee might get rid of it.. So that is the first issue.
3. If you get infected, being vaccinated helps.
The good news is that among Israel's serious infections on Thursday of this week, according to Health Ministry data, the rate of serious cases among unvaccinated people over age 60 (178.7 per 100,000) was nine times more than the rate among fully vaccinated people of the same age category, and the rate of serious cases among unvaccinated people in the under-60 crowd (3.2 per 100,000) was a little more than double the rate among vaccinated people in that age bracket.
Okay, in other words the vaccine still works. One is at least nine times more likely to get seriously ill if one is unvaccinated. That means that even if it does not prevent one from getting the disease it still offers very strong protection.
Lastly immunity drops over time from both natural causes and vaccines. That is why a booster may be needed:
6. Booster shots offer more protection — if you are one of the world's lucky few to get them.
Israel is the first country to offer a third shot of the Pfizer vaccine in a nationwide booster campaign. Preliminary research in Israel suggests booster shots significantly increase protection against the coronavirus a week after a person receives the third dose.
The evidence still says that the vaccine works. We may need to get booster shots and they may need to develop new versions if people keep refusing to get them and the disease keeps evolving.