"UK is on the right of most of Europe". That's a wrong premise in my opinion. While economic policy is definitely more liberal than the average, social left is pervasive in both main political parties, and there's a solid consensus around open borders, gender equality and other forms of egalitarianism.
Uh... you really haven't been paying attention if you think there is a "solid consensus" on open borders in the UK. We have never had "open borders", and Brexit is going to mean reduced immigration.
Economic policy is a part of people's lives - public spending is a big issue (e.g: healthcare spending), and we are very far from left in that regard. We aren't terrible for social policy, no, but we aren't leading the pack either.
