Instead in Europe the democrats would just be a typical right wing party. Meaning they are pro immigration to stimulate economic growth, pro healthcare for all etc.
There is no such thing as a decoupled “fiscal” conservatism. Politics in practice are inseparable from their historical context and Democratic politicians know that. Their virtue appeals in the media are not supported by their politics but rather serve to distract from their politics. Their politics, in fact, are a conservative politics.
Its mostly a center-right / center-left coalition with the center-right currently slightly stronger (until very recently much stronger). While it leans right, it isn't coherently conservative, even by international standards.
Frankly self proclaimed leftists have a terrible habit of consent manufacturing - both from their own natural bubbles and echo chambers and ad nausuem rhetoric. There is tbe "implicit identity and support" which assumes that universal support of the working class is the natural status quo and any who disagree are puppets of the rich. This abstraction spares them from having to consider the actual opinions of the people who compose it. Their poor electoral performance in even their strongholds highlights that they are a noisy minority operating under the pretense of being a majority.
Maybe even more importanly, the way Democrat representatives seem to be able to enrich themselves from lobbying money etc, would be totally unacceptable most places in Europe. It would place them more in the class of Plutocrats than conservatives. Democrats tend to have far closer ties to Big Capital than even the most business-friendly conservatives where I live.
It seems to me that their focus on identity politics is a cover for doing very little to actually help the unprivileged, but instead doing the biddings of their donors.