I believe you're describing classical liberalism, freedom with governmental safety nets. Libertarianism would have no safety nets and very minimum police and military. If you can't afford food or health care, that's on you.
Give people money, give them mandatory financial literacy training before they get said money, let them figure out how best to live their lives, remove the minimum wage in the process. I'm also strongly opposed to malum prohibitum laws as well - the government does a poor job of respecting peoples civil liberties out of the misguided concept that any and all evils are preventable - the truth is, sometimes bad things happen, and not every potential bad thing is worth the collateral costs to prevent it.