Imperfect but forgiven
Even the marines don't trust the gov.t, I heard on a radio talk show last week that's the reason they won't get vaccinated. The armed forces don't trust the gov.t.
I expect the majority of soldiers, sailors, and airman have already received the vaccine without a 2nd thought. There are always some, just like in the general population, who are wary of vaccines.
As far as trusting the govmint, it's given all of us every reason not to trust it regardless of our profession.