See that's the thing about being strongly anti Brexit. The strongly pro-EU folks were always a minority in comparison to the strongly anti-EU folks, and the people who didn't really have their mind made up either way - and now just think the result should be respected. That's why Leave ended up winning after all.
You may well be right about the doubters and some stay voters being won over but this is only down to a Tory government and right wing media propaganda convincing them to get behind the country rather than question the motives and logic of the Torys governments Brexit.
I don't think many people gave that much thought about Brexit to it till UKIP came along. now suddenly everyone hates the EU, we've seen it time and time again since the ref result. people arguing how strongly they feel about getting rid of these EU rules and regulations but being unable to quote one example to justify their opinion.
I see Corbyn has come out and said we must have control over FOM yet he's arguing how vital it is to get full access to the SM. so what would he do when the EU refuse to allow us to have control over FOM. the choices are, go for a hard Brexit or accept FOM giving us a soft Brexit, maybe another referendum to let the public decide. he has to lay his cards out on the table and stop sitting on the fence.
http://www.mirror.co.uk/news/politics/jeremy-corbyn-finally-accepts-brexit-10424465