This is exactly what needed to be done, in Sweden and elsewhere. Pay staff triple and have them stay with the old folks and get everything delivered by externals with as little contact as possible. And no new admissions into the care homes.
Money doesn't just buy people.
You'd essentially be drafting them.
In every country (except maybe Iceland which doesn't have a standing army), the military has plenty of medically trained soldiers who are used to doing these things away from home for months
Seems far more reasonable than locking down entire countries for months, asking people to forego friends and family (without even mentioning the consequent unemployment).
You wouldn't need to force anyone with a gun. A five-fold increase in wages - untaxed - would be more than enough incentive. The cost would be a drop in the ocean compared to the damage wrought by the measures adopted so far.
No need to use a gun. Just a strict contract.