You are right about most points, but the right is not and never was about freedom, but about cementing a hierarchical order in society.

It used used to be about Aristocrats in France.
Today it is about keeping the rich in power and by extension to rile poor people against even poorer people (often immigrants).

If you look at politics through that lense so many more things start to make sense.

Old money hates new money.
Right wing middle class people hate poor people.
Right wing poor people hate immigrants.
They want to look down on somebody.