How would one abolish political parties? What does abolish mean?

Fundamentally, political parties are based on freedom of association.

Freedom of association allows people to form their own groups, for whatever reason. A group of hikers, model railroad enthusiasts, or a group seeking political ends.

Political parties also cross into advocacy, which is/can be petitioning government for redress. Another constitutionally protected thing.

Best option that I can see is having elections ignore party affiliation. Basically the jungle primary thing.

But in my experience, with nonpartisan elections, everybody still knows what ‘party’ the candidates are.