It would depend on what happens next...do the people against lynching get their own place where they decide their own rules democratically ? Or the other way, do pro-lynching people go build a new Lynching Empire somewhere else and leave their land and resources behind ?

I'd be a supporter of freedom to decide any rule within a group if there was infinite resources and we'd just move freely to the places we want to be with the groups we want to belong to. Short of that, the majority agreeing on something is probably not enough to warrant changes, but then of course we have to deal with the imbalance...