is arresting a kidnapper kidnapping?

so one person i heard talking says the state does stuff that would be illegal and different terms if done by non-state

they called

tax-theft

arrest-kidnapping

military war-murder

now for tax i can see privatly replaced as volunteer contract fees for usage and there would be no private equivalent to taxes.

arrest though, would a private defence agency not be able to arrest for crimes without being called criminals kidnappers themselves?

war as well, would people not be able to defend themselves in a war without being called a murderer and criminal?

Youve got it backwards, a kidnapper is the only person you can morally arrest.

PUNISHMENT AND PROPORTIONALITY:
THE ESTOPPEL APPROACH