I live in such a country, and have no problem with imagining Bernie and AOC joining our leftist parties. The Socialist Left Party, the Green Party and the Red Party have policies and visions similar that match what Bernie and AOC is pushing. There are parts of the parties that could be described to the left of Bernie and AOC, but to claim that they belong in the Conservative Party is pretty silly, even if the Conservative Party is pro universal health care.

In which country are you imagining Bernie and AOC fitting right in with a self proclaimed center-right party?

Do not obey in advance.