At university I read history and politics. Then, being a glutton for punishment I went on to do an MA in political theory, hence my interest on coming across this article concerning the rise of libertarianism among young people, (http://www.ibtimes.co.uk/rise-new-libertarians-meet-britains-next-political-generation-1469233). According to the piece, young people are turning away from support for the welfare state and embracing classical liberal economics combined with social libertarianism. What is being described in the article is not Conservatism for Conservatives do, on the whole support laws against drugs, prostitution etc. In contrast the libertarianism being described here is opposed to what it perceives as unwarranted restrictions on personal liberty of which (they believe) measures against drugs, prostitution etc are a part. Again, within British Conservatism there exists a school of paternalist or one nation Tories who have accepted or, on occasions promoted social reforms (Benjamin Disraeli for example). This strand of paternalism is foreign to libertarianism of the kind being described here.
Worth a read.