I read that Denmark brought in mandatory Covid vaccination for the entire population, until protests made them back down.

They'll force you socially

Some states are enforcing rules now, like masks and gatherings, you will be fined .

Vaccines will probably be welcomed.

https://thejewishvoice.com/2020/11/banned-video-former-pfizer-chief-science-officer-dr-michael-yeadon-covid-second-wave-based-on-false-positives/

In short yes.
But they'll likely use more vank arm twisting methods to subvert and pervert your free will.
Want to get on a plane or go into the shop to buy some milk? No you can't, not unless you've had the vaccine, remember, it's your choice

Perhaps if I had some underlying health problems I would certainly consider it but since I'm fit and healthy and have already had Covid twice, I see no need to take a vaccine against a disease that has approximately a 1% mortality rate.

The government is cordially invited
to suck wind from my rectal cavity.

But, they won't be able to force me
to take a vaccine.

Rock,
Sometimes I think, you could have been a great physicist
You explain things like Dr. Feynman!!!

Our Government is producing Covid vaccination cards that says you need to keep them on your person at all times. The government isn't confirming or denying that you will need these to get into shops and other places of business but it's not looking good.