But you see the opposite of it ... the European project ... as ideology. They are two sides of the same coin in my opinion.
As I said, I don't see having an ideology as a bad thing per se. But being committed to restoring the UK's "status as an independent sovereign nation, untrammelled by unelected civil servants", regardless of the impact that has on trade, is an ideology. The EU counter to that, being committed to preserving and strengthening the European project, is going to be their main priority now. If they can do so by giving the UK favourable trade terms, then maybe they will. Or maybe they'll be petty and spiteful enough to avoid that whatever it costs, since they are so unaccountable. I see Tusk, Juncker, Verhofstadt and Barnier as modern day versions of Dickens's Marquis Evrémonde...
Anyway, back to the OP - a second referendum. Whether we have one or not, now is not the time to moot it because to do so is likely to change the outcome of the discussions. I fear with what Blair and Farage have already said that the EU will be negotiating on the assumption that a second referendum is likely. This will change the deal they offer.