The Democratic Party has never been a Center Left party. It is a Center Right Party and the Republicans are a Fascist Party. There aren't enough Center Left people in the US to matter.
I think that Hakeem Jeffries, Tammy Baldwin, Chris Murphy, and a lot of other Democratic officeholders, candidates, and party officials would disagree with your characterization of them as "Center Right".
The Democratic Party has never been a Center Left party. It is a Center Right Party and the Republicans are a Fascist Party. There aren't enough Center Left people in the US to matter.
I think that Hakeem Jeffries, Tammy Baldwin, Chris Murphy, and a lot of other Democratic officeholders, candidates, and party officials would disagree with your characterization of them as "Center Right".