It is not I who needs to do some remedial study, it is thou. Libertarians of today are certainly not classical liberals. Classic liberals believe in natural law, whereas modern libertarians do not. Modern libertarians believe that man is basically good and should be left entirely to their own devices, whereas classic liberals recognize a supreme being, i.e., God, who places in the hearts of men a knowledge of right and wrong. To say that modern-day libertarians are classical liberals makes as much sense a Latter Day Saints (Mormons) are Christian mere because they claim to be the "True Church".
Your argument is very weak. Let this be a warning; never, ever get into an argument with connectthedots that requires the use of logic. It is a losing proposition every time. Smarter people than you have tried, and they always fail.
I'll second that...