Right-wing authoritarians want their rightful authority figures in charge because they hold "traditional" values, where straight white Christian men are in charge...or are people who agree that in general it's "normal" for straight white Christian men to be in charge. Which is how you end up with right-wing authoritarians strongly supporting token minorities as they support the basic "traditional values" paradigm.
They do not give a shit about democracy, freedom, individual liberties, life, or personal responsibility. Those are simply conjuring phrases that help them identify rightful authority figures. That's it. There's no mystery here. There's no reason to be confused or to wonder why. The abstract concept behind the phrases being used are unimportant, the phrases are just in-group identifiers.
It's the same way they use socialism, communism, woke, BLM, Antifa, etc. Those phrases are used to identify others and out-group members. The actual meaning behind the phrases don't matter, not one bit. At all. Getting caught up trying to define those phrases and explain them to right-wing authoritarians is an absolute waste of time.
It's like trying to explain Quantum Physics using layman terms to someone who needs to believe that Jesus exists as grape juice and crackers in order to continue being a member of their church group. Reality doesn't matter, because belief alone is what provides membership into the in-group they have every interest to remain in. Their family, friends, and community are all in-group members. Even if they privately doubt that Jesus is grape juice, they'll go along with it, if it means their standing in the in-group remains in good standing.
The sooner that non-right-wing authoritarians get past trying to use PowerPoint to prove to right-wing authoritarians that they're wrong, the better. It's a waste of time and resources and as more research becomes available to show it, it tends to actually push right-wing authoritarians further to the right as they need to double-down with their beliefs to avoid the stress involved in the cognitive dissonance of reality vs. their beliefs.
If you must have the conversation, lead with your values and limit how much time you spend lecturing or defining phrases. Ask questions that will require an authoritarian to examine their own values as expressed through their politics, without answering the question or explaining why the person is hypocritical or mistaken. Either they figure it out, or they were always unreachable and it's best to move on.