No
PM is chosen by votes of Members of Parliament, all of whom are elected by the wishes of the population at large in an election.
racedo,
Check your facts!
"The voting is split equally three ways between Labour MPs and the Labour MEPs, party members and members of affiliated trade unions who have not opted out of paying a political levy."
Reuters
This certainly isn't a new topic; perhaps we should remember the following thread:
http://www.pprune.org/military-aircr...-shabbily.html