If Biden wins, I think he will govern from the center-left. He has made some concessions to the Bros and Warren Stans, but there were pretty firm lines put in place back in May that Biden flatly refused to cross when they got the Biden/Bern panel together (M4A, for example). The Bros got some stuff they wanted, but no where near what they would have liked to have. And I know folks will probably bring up the $775 billion dollar plan Biden released concerning universal child care and elder care, but this is not a new proposal. Democrats have been trying to get this passed for years.
The majority of the party has not moved too far left imo. Otherwise, Bernie or Warren would be the nominee. Instead, Biden absolutely destroyed them (and Pete and Amy, etc.) in the primaries. Bernie didn't even win a single county in Michigan. The party is not as far left as folks on here tend to believe, and the evidence is in the votes. Bernie's numbers were down in almost every state from 2016. And he lost to a gay mayor from Indiana in the Iowa caucus. They are very loud, I will grant you that. But they are far, far from the majority. Otherwise, they would have more to hang their hat on than AOC, Omar, Pressley, and Bernie being in Congress.
If people don't think the Mayor Pete's of the party are not the future, then they aren't paying attention or being honest. He's 38, and has a very long career ahead of him in politics.