Good idea but an awful name.

"Liberal" has an existing meaning which has been warped by American politics. Both the American parties have a liberal heritage. Republicans are conservative liberals, and Democrats are largely progressive liberals. Libertarianism is a reactionary liberal ideology that seeks to return to a freer, less-regulated market.

The confusion happened due to FDR. He ran on a progressive platform but the term "progressive" was poisoned in American politics at the time, so he called himself "liberal".

There is already a term for what you're describing, simply "left-libertarianism" https://en.wikipedia.org/wiki/Left-libertarianism