The word 'liberal' in a European context ranges in meaning, and often encompasses many aspects of what those in the US would recognize as 'libertarian'. It just really depends on the context though. Depending on the country, 'liberalism' may be associated with center-left, center-right, or both (see UK LibDems as an example). In general, though, it is typically used in contrast to both right wing conservative parties and left wing social-democratic parties.

They are not liberals. Not even the most hardcore European liberals would say these things:

https://en.wikipedia.org/wiki/V%C3%ADt_Jedli%C4%8Dka#Quotes

You are probably right, two very completely different ideologies.

There are a lot more than two ideologies in those terms.