Having seen the mess made of the PM elections i don't think i want the public voting for a head of state anytime soon, we could end up with someone similar to Trump, Clinton or Biden and no one can tell me out of 229 million people those three were the most suitable for the job!
It's a basic mistake to think of a president in the US (or French) models, when the German/Irish model is a much better fit to our system, effectively they have an elected monarch who takes on most of the ceremonial stuff in representing the country at D-Day celebrations etc, and has a few residual powers that are almost never used.
But it seems a much better idea to have a non-political figure than a system where eg half the country hated either Obama or Trump, yet they personified the country and acted as ultimate commander-in-chief of the armed forces, sending soldiers to death in war. On the flip side - how many people here could name the President of Germany?
I'd ban political parties from nominating candidates for president, and ban anyone who's been in politics. I'd look for apolitical figures with the right kind of mindset for public service, demonstrated by some kind of serious commitment to voluntary work.
Perhaps working with kids, which immediately makes me think of the Chief Scout. What would you think of President Bear Grylls?
The Air Cadets would be another example, although President Carol Vorderman might have a bit too much baggage? But that's led me to what seems to be sort of her successor at the Air Cadets, Emma Wolstenholme - one of the first women squadron leaders in the RAF, rowed across the Atlantic to raise money for them, seems a decent sort?
In a similar vein, how about the fella who created the Prince's Trust....?