Please explain how, in your view, they differ substantially.
The quote, taken from the Libertarian Party Statement of Principles ...
" We hold that all individuals have the right to exercise sole dominion over their own lives, and have the right to live in whatever manner they choose, so long as they do not forcibly interfere with the equal right of others to live in whatever manner they choose "
... has no such wording and indicates man should be allowed to live socially with others in any manner of his choosing.
Hardly a recipe for a successful United States.