I think only the US consider the US Democrats as leftists.
Many things about the US are far to the left of most countries. For example, birthright citizenship.
Only the rightists do and among them really only the loud redfaced ones.
The Democratic Party spans from slightly right to ragging left that even European leftists look at with confusion.
This is a common claim, but it is a misleading simplification of US politics and European politics. (In simple terms, many of the economic positions taken by the Democratic Party would be considered centrist in Europe, but if you include positions that have been taken on immigration, identity politics, criminal justice, reproductive rights, etc. it would not.)