Capitalism and socialism are modes of production, ie descriptors for the principle aspect of a given economy. Having a public sector does not mean you have a socialist sector, just like having a private sector does not mean you have a capitalist sector. Public sectors in capitalism serve to support the private, and private sectors in socialism support the public. Determining which aspect is principle, ie governs the large firms and key industries, and which class controls the state, is how we check for capitalism vs. socialism.

The US absolutely should move towards the socialism end but capitalism won’t vanish, most importantly because it’s detractors never offer a viable alternative.

Socialism is a viable alternative, see the PRC, where public ownership is the principle aspect and the working classes control the state.

Pretty much a guarantee that a big chunk of people wasting time and resources on an internet discussion board are in some way benefitting from capitalism.

The English-speaking internet does have a large portion of labor aristocrats, ie those who benefit from super-exploiting the global south, but that doesn't mean socialism isn't a necessary advance. Imperialism is decaying, thankfully, which necessitates socialism, not to mention the moral victory.