The vaccines are helpful to the recipient, but unless you are successful at completely shutting down travel to the rest of the world: not really that helpful to the people who haven't taken them. In fact, there is an argument for how over-vaccinating will be harmful to the unvaccinated.
If you're vaccinated, you can still get and transmit covid. You just don't get as sick. The vaccine protects you.
So why these vaccine mandates? Vaccine passports? Etc.
Because people simply enjoy the act of getting to tell others what to do. Anybody who has ever interacted with an HOA will be familiar with this.
The data shows that these do not have a positive effect, but the people enacting them enjoy it, and the people who have found themselves on the enforcment side of the political divide enjoy the feeling of righteousness they experience because of them.
I can’t reply to everybody making the same incorrect point. Here is the graph of Texas’s hospital utilization: https://covid-texas.csullender.com/
(Luckily Texas gives us great data!).
The graph here you are looking for is the one that shows the percentage of staffed beds and icu beds occupied. Notice that it is entirely flat.
Here’s a really interesting statistic that suggests even less effectiveness of these control measures: the vaccines appear to have had no effect on hospital utilization.