Well, I have to give you that.

But here in Germany, CDU was always considered "right".

For example, CDU/CSU politicians didn't want gay people to call what they have a "marriage". Merkel said so back in 2017, and eventually voted against the law together with more than 2/3rds of her party; the law passed anyway with the votes of the CDU's coalition partner SPD and the opposition parties. So there are some commonalities with the US right wing politicians and their policies, after all.

You can't position parties in a one-dimensional spectrum. At least two dimensions (economic freedom and personal freedom) are necessary. (You know, the age-old https://fee.org/media/9818/20131203_fulmer1a.png)

True "classical liberals" might as well be nonexistent for all the power they have in modern politics. Even pols who identify as "classical liberals" mostly just end up voting with one of their country's (economically + socially) right-wing parties anyway.

I just used that image as an example, I don't agree with the denominations used.