Sortition does best as an anti-corruption mechanism, rather than a full system that removes all politicians. I like to merge it with ranked voting by adding a lottery option to the ballot that politicians have to beat. This, for lack of a better term, Ranked Sortition system is also an easier transition from the current system, so even if you want a full sortition this is easier to implement at various local levels where people still need to get used to the idea.

Edit: Also is there a com where we can talk about these sort of voting theory things?