It's a very valid question - and I think probably the best thing I can do is push you towards this article I wrote about my political position.... https://medium.com/lucid-nightmare/the-penguin-political-compass-is-complicated-and-controversial-dc04f4267b96
The right and left both have libertarians. I would say that 'left wing libertarians' are now the 'classic liberals' - right wing libertarians are the libertarians you'd naturally assume they are. Right wing conservatives are Trumpists - and the people calling themselves 'progressives' are a mix of socialists and identarians - some of them are left wing, some of them are more right wing - almost all of them are authoritarian.
Have a read of that article and then I'll come back here and try to answer any questions you might have as best I can. :o)