lapafrax is right, there's almost no libertarian outreach in Britain, and libertarianism is seen as a "barbaric American ideal which is antithetical to the operation of a civilised society like our socialist paradise." However, there are lots of people fed up with ever-soaring taxes and fees for shitty public "services," and who are open to alternatives. Such a libertarian outreach would need to soar under the radar.
There's also a unique opportunity to present libertarianism -- real libertarianism -- as a new policy pillar for the lost-at-sea Tory party, and put some of its practices into effect when the Tories win a government (which is only a matter of time).