This thread is a pretty solid indication of why popularly electing the chief minister is a poor idea:
People posting misunderstandings or incomplete information as absolute facts
Most people don't know how National Insurance is calculated or used, but think they've got what it takes to competently assess policy
Endless ranting about minutiae like wigs, or the Bishop
Believing the government should be doing much more with much less, but will then complain about any cuts in services