The urban wing of the party will keep electing progressives and the suburban wing will keep electing moderates. Both sides need to just deal with this fact and de-emphasize issues that divide the party such as policing, Israel/Palestine.
Fat chance. The consensus is split, but moving in one direction. Neoliberalism and imperialism are out. Multiethnic democracy and democratic socialism are in. Those who don't like it are welcome to form a third party like they told leftists to for decades.
LOL, the party elected officials are roughly 90-10 center-left right now and the far-left has yet to win a single seat outside of locked-down Dem strongholds. And when the whole electorate is tested, it picks center-left democracy by a clear majority every time.