#Anarchists have the hardest battles to face if they are to every be taken seriously. It really doesn't help that since #anarchism is so complex in practice and theory most anarchists don't know all of these, when pinned down most cant explain how it would actually work.
1) Convince people that capitalism is bad 2) convince people that government is bad 3) Show that all power corrupts and often makes you stupid and sociopatjic no matter how good you started out. 4) explain how the complex decentralized web of individuals, be it based on locality with #anarcho-comminism or based on their unions #anarcho-syndicalist will replace government 5) explain science showing that people, especially in disaster zones are essentially programmed to self organize and even thrive via mutual aid and only those work power to lose engage in elite panic the opposite of what the powerful suppose.
6, Explain the processes of creating sustainable community. A hundred years ago, this was the easiest part as communities knew how to rely on each other and self organize for their needs. Now we are so atomized we can't even make friends as adults much less a long term stable community. This requires many psychological tricks to get peoples egos out of the way in organizing, used in six sigma in business to create consesus building.
Can anarchism work? I haven't the first clue. The uphill battle of educating required is truely them most difficult of all political philosophies to ever implement and while the most efficient in practice is also the easiest to be taken down as no one with power wants a successful anarchist region to act as an example, so they have to do all of this AND survive geo politics. So who even knows if it can ever happen.