Proposition #43 on why ancap society is not possible

how is turner going to fund a security for the idle resource ?

By liquidating, trading, or converting the capital.

how are these generous enterprises going to continue to fund ted turner if they are giving their capital away?

Who said they had to continue? To answer your question though, by their subscribers and customers of course.

is handing money over to an individual so he can defend idle resources a profitable business model?

Depends. If their rival is quelled, and therefore become less of a threat, definitely.

your sounding like a keynesian or socialist angurse giving away resources to unprofitable enterprises.

Pro-bono work happens daily. Its good publicity. Look at the long-term.