An actual “liberal” Democrat would seem to be in the centrist mainstream in Canada. However, most Democrats are not “liberal” on all issues, since many are either somewhat more right-leaning on fiscal / economic issues (left-leaning libertarians), or somewhat more conservative on social issues (including white people who are right-leaning on racial/ethnicity and/or religion-based issues but left-leaning on fiscal / economics issues, and non-white people who are right-leaning on religion-based issues but find the noisy racial/ethnicity conservatives among the Republicans to be loathsome).
Also, Europeans are not uniformly “liberal”. Some political parties with substantial support are explicitly opposed to ethnic and religious minorities, and dislike of Roma (Gypsies) is widespread and mainstream in Europe.