I would strongly recommend sorting by a Wilson-normalized total score, but I don’t think that specifically needs to be shown as such, especially as it is highly unlikely to be an integer. (Although if we show score but don’t show up/down breakdowns things might be confusing, which is a recommendation also for being as transparent as practical to everyone.)
If we have multiple weights for votes, I’d recommend keeping it as simple as possible: two vote weights, the larger one acquired at a fairly high (and ideally topic-specific) trust level and usable only with fairly restrictive daily limits. Much more complexity than that will make it almost impossible to reason about post quality and votes. I don’t know that that’s at all MVP, though it would also be difficult to manage if it’s not balanced into the system from fairly early on.