I give you the fine state of Mississippi where only 1/3 is vaccinated and they are only doing 15k vaccinations per week. If the population even wanted a vaccine at this rate it would achieve immunity some time in 2023. Its like a nice little virus lab where there are plenty of unvaccinated hanging around for existing strains but the first strain to successfully attack vaccinated will gain a huge advantage.
What I am seeing from the CDC is around 535 break through deaths out of 3016 hospitalizations as of June 1st but this isn't broken down by time frame so I cannot compare a time frame to see what percentage exactly are break through deaths however looking at the rough magnitude of breakthrough deaths vs deaths makes me doubt that 3% is accurate nationwide.
This means that 15% are too young at this point to vaccinate and 17% (20% of 85%) wont vaccinate. This means full vaccination of everyone who intends to vaccinate would be about 68% of the population. This means that 26% of the population is still in progress.