Not being in the EU does not count as destabilising government and society. Either choice - remain or leave - was reasonable, the debate surrounding it was (largely) unreasonable.

There's no need to continue the unreasonableness now.

Brexit certainly destabilized British society by proving that young people have no stake in the social compact, old people will throw them under a bus as soon as they get the chance. It will also prove to have instigated the dissolution of the United Kingdom, eventually.