Personally I don't think anyone should be allowed to run for office if they weren't born in that country.
How's this going to work then in your world....So if you had a child with your mrs, but you went to let's say Amsterdam for a weekend, and the baby decided to pop early, you are never going to consider the child British, despite it's parents being British.
These two will align themselves with Trumpism and the cult of celebrity that seems to go with it, which quickly seems to be replacing actual political competence amongst people in power. Expect to see Farage upping his media attention whoring over the next few years, crying about non binaries, WEF, broke farmers and criminal refugees, in an attempt to put himself forward as a credible candidate for PM here. There will be plenty who’d vote for it too.