Why not take the best features of both instead of insisting on a 'pure' idealistic pipedream? AnCapistan has a great thing going for it. The 'capitalist' part. Market based solutions are great. Make government earn its money. Introduce competition, make politics and legislation fundamentally economic, instead of the feel-good my team vs your team bullcrap we see today.
Bolded point marks where you enter AnCapistan. Welcome to Anarcho-Capitalism, Brother!