It seems like the number one problem is that their country is kind of split, people who think of themselves as countrymen are not actually in the same country. And since Ireland is in the EU, if Britain drops out, EU wants to impose a “hard border” with Ireland, essentially cutting off a free trade zone that has existed forever, and imposing taxes, fees, and paperwork.
Much of the bargaining with EU has been about trying to avoid this kind of border, but the EU realizes this is the leverage point, and have been very adamant about it.
If the UK leaves, forms it’s own trade pacts (old commonwealth, US, etc.,) and comes out of the storm relatively intact, it would set a precedent the EU would find terrifying. No doubt, a Brexit would encourage other EU nations to leave.
Remainer’s plans are to make Brexit so painful that any other EU country would think twice about leaving.