People who aren't worth high wages will be far less able to find fulltime work.

This would encourage businesses to make most positions part time and only retain a few token full time positions as part time has not been held to equal standards.

This would be a horribly impractical law. "Full time work" is arbitrary and there is no reason that people should have to work that long for a basic standard of living.

Improving education, the social safety net and business opportunities is a better bet.

Not everyone who wants to work needs a living wage. High schoolers living at home in the summer, Elderly supplementing Social Security, etc.