"Ask not what your country can do for you,"
It seems Friedman, and you, ignore the "not" part of his speech. Don't ask what you country can do for you, don't look at your government as a patron. So that point is completely without merit, as it fully distorts what Kennedy said.
"Ask what you can do for your country,"
This is a free choice, something you should freely do, come to your own decision, and act upon that. It's also not mentioning the government there, at all, is it? You could help your country by starting up a business, if that's how you answer the question. The Founder's themselves always talked about fighting for the greater good, I mean hell, they all fought a revolution, which was hardly an easy undertaking, becuase they felt it was for the greater good. Talk about personal sacrifice!
Classic liberals were not nearly as "each man for himself," as you seem to imply.