"Do the (L)'s want to privatize the military too?"
Not exactly. Although the 2000 Libertarian presidential candidate thought the proper way to respond to 9/11 was to issue Letters of Marque and Reprisal.
Some Libertarians do call for the elimination of all courts and police and fire departments. If you have a legal dispute or want police or fire protection, you should contract with a private provider.
Thanks for the info. I actually agree in concept that, generally speaking, private ownership is better than government ownership of certain resources, but the (L)'s are a lot more "extreme" in that respect than I am. Using your earlier example, a public transportation system just makes good sense.