So is enforcement of contracts between private parties. Are you against private property as well?
By and large, the government does not come take away your freedom for breach of private party contracts. There are some exceptions, where we wrote law (government mandate) elevating some types of private party contract.
But generally, no, me violating your NDA won't escalate to the government shooting me, no matter how uncooperative I am.
Ultimately, enforcing (almost) any law does come down to use of force if the guilty party is intransigent enough. Exceptions are when some thing can be "snatched" away and held truly inaccessible to the guilty party, such that they cannot possibly retrieve it.
Not sure what happens if you have a civil judgement entered against you and then quit having income. (Not reporting income is probably a real Crime, and they’d go after you for that)
1. debtor's prison isn't a thing anymore
2. look up "judgement-proof"
If we are, neither private contracts nor vaccine mandates are directly enforced at the barrel of a gun - the RCMP aren't busting down people's doors to shoot them for failing to get vaccinated, just as people aren't immediately killed by the feds for violating legal contracts.
If we're talking about how they're ultimately enforced, if all else fails...well, they're both enforced the same way.
For private disputes, it’s also not uncommon to have an armed officer help enforcement. Consider an extremely common private contract dispute - an eviction - where the police may come to remove the tenant.
The “barrel of a gun” is of course a metaphor, but first order enforcement can be closer than you think.