The Democratic Party is no longer center-right, not since at least 2016. The progressive faction has taken a lot of place. Just look at AOC and the likes.
US Senate and the solid blue core? Still firmly center-right.
For instance, Republicans are very unlikely to be elected in my city. So competitive candidates call themselves Democrats. And to establish their bonafidas, they might even hold a few select leftish positions to brag about. But when it comes to legislating and appropriations, the boring stuff that no one pays attention to, they're just as nimby, reactionary, regressive as any generic Republican.
The 3.5 trillion budget in 2021 with broader socialism policies would be a good example.
However, it doesn't have to be limited to legislations passed, but rather what is widely being discussed and pushed forward by the Democratic factions, the biggest example is the "Green New Deal"; more government intervention, increased spendings, massive expansion of state power.