I’m pretty sure minarchism is a “anarcho”-capitalist current? You’d be hard pressed to find a libertarian socialist support minarchism.
I’m an anarchist but I started as a far left libertarian. I wanted a small government that mainly administered a comprehensive social safety net, defended the environment, reined in corps, and kept up a small armed force to defend against invasion and maybe participate in UN anti-genocide missions. I found the book Post-Scarcity Anarchism and bought it on a whim which led me to Mutual Aid and I realized everything I thought a state had to do could be accomplished by the destruction of involuntary hierarchies, abolition of capitol, moving away from progress for progress’s sake, replacing the army and police with voluntary community militias with strong community oversight, and an emphasis of living with nature than extracting everything possible from it. My views have continued to be refined and evolve but that was the gist of it.


