Only unalienable rights I have seen listed are "Life, Liberty, and the Pursuit of Happiness". Is there another list somewhere that I've not seen?

Assuming that is the list, then it is unconstitutional to carry out the death penalty or to order a soldier/sailor/airman into combat where life may end prematurely; similarly unconstitutional to incarcerate even the most vicious serial killer, and unconstitutional to protect children from child molesters.

That is an amazing world! If that's what a libertarian is, I'm glad we have very few of them near the seat(s) of power!
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"The white men were as thick and numerous and aimless as grasshoppers, moving always in a hurry but never seeming to get to whatever place it was they were going to." Dee Brown