"How about we pick one issue, one you believe is the hardest that 'we' struggle on and then if you don't mind, give an anarchist solution for."
I apologize if I answer this wrong, but I'll take a stab at what you're asking.
If by "we" you were referring to minarchists, the struggle I see is refusing to apply the philosophy you believe in consistently in all cases. It's like if I asked you "what's 2 apples plus 2 apples?" And you say 4 apples, and I ask "what's 2 oranges plus 2 oranges?" And you say 4 oranges, and I ask "what's 2 pears plus 2 pears?" And you say 17. You can give great arguments as to why it's wrong for government to operate in sectors x, y, and z, but for some reason you believe that the government should operate in some other sector, despite the fact that the very same arguments used before apply in this case as well.
Tu ne cede malis sed contra audentior ito