The Democratic Party is a center-right conservative† party by the standards of much of the world.
† As distinct from the wildly regressive stated policies of the "conservative" Republicans.
† As distinct from the wildly regressive stated policies of the "conservative" Republicans.
To give an example, Democratic-run states in the US have significantly more permissive abortion policies than anywhere in Europe. They're also further to the left on drug legalization, restorative justice, and immigration. This also holds true with policy positions at the national level.