Maybe, just as some would give up their lives to protect their family, they would also give up their life to protect their families liberties.
Maybe, some would also fight to protect the lives and liberties of complete strangers.
Maybe, in your own subjective valuation liberty is not worth fighting for, but others may value it high enough to fight for it.
"I would die rather than be a Slave"
You just answered why people believe liberty is worth fighting for.
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"The State is a gang of thieves writ large." - Murray Rothbard