There are certainly immature, naive libertarians out there (probably down-voting your comment right now,) but the places where you have been immature and naive here are in thinking that anti-gov't/every-man-for-himself is the cornerstone of the opposing argument.
When I read Carmack's post I think of anti-inefficient-gov't not anti-gov't. You may attempt to say those are the same, but I disagree.
The "imagine a privatized [gov't agency]" argument is a thought-experiment to show the idealism behind the anti-efficient-gov't movement. It should not be taken literally.
By the way, work earned that dollar; it did even when there was unsafe work, discrimination, and abuse.