But I'd like to point out that the Conservatives in the UK are nothing like Libertarians. There are a few perhaps, like the MP in the article, who would like to think of themselves that way. But the Conservatives as a whole are Authoritarian bordering on Totalitarian, and they are the most Authoritarian of all the big parties (more than the left).
You just have to look at their "hostile environment" policies to see the difference: It is the law that all landlords (even for someone staying in a spare bedroom of someone's home), banks and health services must verify a person's documented right to rent, open a bank account or have healthcare.
Every major party is against those policies except the Conservatives.
As many people in the UK lack or can't obtain documentation even when they do in fact have legal rights (the Home Office in charge of such things routinely breaks the law and is ruled against by the courts), and many don't find out about their restricted status until they turn 18 years old then find out they aren't allowed to go to university after all, and some lose status without knowing because we have a rather opaque system which does that to people for capricious and secretive reasons, we have rather a lot of people affected by those laws, who were either born in the UK or entered legally at the time they entered. This is why the Windrush abuse by government was so damaging, as many elderly people who had been in the country for some 50 years were suddenly affected by the hostile environment policy and had their lives ruined.
No true libertarian would condone those policies, as they are directly opposed to personal freedom between individuals to make small, private transactions. Renting is a private transaction between one individual and another, yet it is illegal under these policies. And preventing the doctor from providing services so that people die when the doctor is perfectly willing to help is also rather unlibertarian.