I don't know is the honest answer. My understanding was that people (brexiteers) wanted more controlled freedom of movement rather than none. Something that struck me was that people were happy with trade agreements like the single market but not so happy with the perceived input into the giant that the eu had become.
The uncontrolled migration here was causing waged to be kept artificially low, some control could have allowed wages to rise whilst still allowing people to work in industries that needed it, e g nhs.
People wanted, and still want to trade with the eu, they want the strict controls on food and quality so parity could have been maintained. This needed to be framed differently so that businesses had the choice of meeting particular requirements and being able to trade, so inspections and certification. If they chose to leave that market then they may be able to change some standards. This would allow some relaxation but parity could be met on the really important things.
Vet standards for example so the standard of food remains high. We could lower standards to allow the lower quality cheaper food from America, but is this really better for the people here, or the wealthiest peoples pockets?
My impression was that many British people felt that their country was being moulded into part of a bigger system and they felt their individuality as a people was disappearing. I've heard it described as play dough- you start off with tubs of bright vibrant colours and finish up with brown sludge when they are mixed.
Unfortunately for all of the talk around Brexit, there was no debate. Too many people would shout each other down and become entrenched in their views, throwing insults and shutting down the conversation for anything useful to be achieved. The fact that views are still polarised years after Boris got Brexit done 
shows it's a debate, and by that proper discussion that needs to be had, where people actually listen. Decisions need to be taken that work for the population, not the rich.
It's a bit like the next budget, put the population first, do what's right and the country will respond. Keep lying and stealing and at some point there will be a reckoning, I don't know when, or how but it will happen.
People were angry at MEPs taking money from the EU with not a lot to show for it, they are now not happy with the tories giving taxpayers money to their mates with not a lot to show. Similar to the oligarchs in Russia. They just haven't worked out why they aren't happy yet, I'm not sure what happens when they do. Who do they blame then?
(Please don't flame me, these are my observations, disagree if I'm wrong but nicely, we all seem to be on the same team).