At some point in the months and years ahead it will become much clearer what deals are on the table, what the actual problems and obstacles are and what pragmatic compromises are going to need to be made. It'll certainly become clearer than current speculation, with the pessimism of Project Fear Becoming Reality on one side and the blind optimism of Project Sovereign La-La Land on the other. The eventual reality is likely to sit somewhere between the two and I suspect no-one will be truly happy with the outcome.
There are clearly some Leave voters/Daily Express readers that appear desperate to have Article 50 enacted today. However I would wager there are also plenty that must now realise that there is a lot of work to do first and that realistically some sort of EU-lite, EEA membership is the only workable Brexit that can be achieved. Obviously that outcome will irk most Remain voters (why abandon our place and influence in the EU for this?) and anger the hard core Leave voters that want an end to free movement and EU regulation. Staying in the EU would therefore seem likely to please considerably more people than going through with leaving.
Of course there is a theory that some people are so unhappy with their lot that they would like us to do a full Brexit regardless, so that the whole country can share their misery as we plunge into a deep depression with the associated unemployment, break up of the UK etc.
So it looks like our fate will be decided by a few grizzled Brexiters, a dozen or so ancient civil servants and a bunch of greenhorns.
Looking forward to that!