"Is there any "political trust" left to be obliterated?"
You have summed it up in a nutshell, @yiskasha.
The problem is that those who campaigned for Brexit made promises to the electorate that they didn't have the authority to deliver. Basically, they promised people the moon on a stick - but sadly both the moon and the stick were under the control of 27 other people, who decided not to allow us to have either moon or stick, but offered us a candle and a couple of matches instead.
Brexiteers then said - rightly - that this was not what they were promised nor what they had voted for in the referendum, and Remainers pointed out that the candle and matches were not as good as our share of the moon on a stick had been as part of the Moon-Stick-Union - so neither Brexiteers nor Remainers were happy with the deal.
Whatever happens, a significant proportion of the population are going to be unhappy - Brexit will be too hard, or too soft, or No Deal will cause chaos, or Brexiteers will find that we still have to obey some of the EU rules and laws, in order to carry on trading with the EU - but we won't have any say on those rules any more - and they will feel they were sold a pup by the politicians who promised them the moon on a stick and couldn't deliver it - whilst some Remainers will feel that any Brexit is too much Brexit, and that we are worse off.
Everyone has their own idea of what Brexit should be - and even if the UK did decide what sort of Brexit we want, and what the details should be - there is no guarantee that the other 27 nations would agree to give us the Brexit we agreed on.
Whoever was Prime Minister during this process was going to have an impossible task. I cannot understand why any Tory politician would willingly volunteer for such a thankless and difficult job. The cynic in me would say I'd sit back, watch it all play out, let whoever was PM ruin their political career over it, let the dust settle, before I even thought about running for high office.