Yes I suppose there is an ideology there.
More significantly, if you want me to sign up to "rejoin" you'd be asking me to give up the one political outcome I've genuinely really cared about seeing for my entire adult life.
If that seems really odd, or perverse to you, I suggest you think about your level of committment to the outcome(s) you most want to see and what would be needed to persuade you to forgo that/those or to stop seeking them. There are ways that could to pursuade me to do that but noone in a position seeking my vote has yet suggested any.
@LouiseCollins28
If, upon looking around you, you do not see problems caused by Brexit, it's possible you live in a special little bubble all your own, untroubled by the idea that trade deals (what trade deals?) the UK concludes with other countries will all involve some compromise, some means of appeal in case of problems - in essence, deals involve give and take.
The outcomes I would like to see are outcomes that are possible, not nationalist, jingoistic fantasies (ideology, in other words).
They are based on reality, not misty-eyed nostalgia arising from a misunderstanding (or complete ignorance) of history. When you are voting for a choice that will gravely impact your country, it's better to go with the head than the heart. That way you are fairly certain that you at least won't do massive harm to your fellow citizens, because you will have taken into account the nuts and bolts, not just the feelz.
Maybe some time in the future you can look back at the halcyon days when you thought the UK could plough ahead and do as she pleased, trade-wise, once out of the EU. You can enjoy paying American prices for healthcare and prescription drugs, because American companies will own the NHS and will turn it into a for profit enterprise and charge American prices for stuff like insulin.