One thing which isn't immediately apparent, even to Americans themselves, is that the large American political parties are less equivalent to individual political parties elsewhere, and are closer to "uneasy coalitions", like those found in Europe involving multiple parties trying (and maybe failing) to form a government. That makes it harder to draw broad conclusions like "USA Democrats would be right-of-center" because progressives and "DINOs" (Democrats in name only) within the party would be left-wing or right-wing, respectively. Logically, the same applies to the Republican party, although ranging from right-wing RINOs (Republicans in name only) and "moderate Republicans", to the far-right factions of the party, like neo-Nazis and MAGA.
With that said, what you're describing sounds similar to social democracy. Not to be confused with democratic socialism, which is generally further along to the left than social democracy, with the goal to reform the state (or specifically, individual US States) away from private ownership of the means of production and away from capitalism. When Bernie Sanders of Vermont says "I am a socialist", his positions align well to European social democracy, even though he originally described himself as "democratic socialist".
For an example of democratic socialism activities taking place in the USA, consider that the state of Virginia purchased a 35 mile (56 km) freight railroad west of Alexandria, in order to stop paying rent to privately-owned Norfolk Southern railroad and to enable expansion of the existing state-sponsored Amtrak commuter train service serving that region. The acquisition was both cost-effective and still preserves freight train access, but now it's the state that controls what goes on those rails, much like how they regulate the weight and dimensions of what travels on the public roadways.
But I must reiterate that the precise definition of political ideology is less important than community-building, since that's how ideology becomes reality. If you can find a party whose well-stated values you support, then do what you can to help them achieve their goals. That's going to be more valuable than taxonomy.