For those unaware, the major parties have declined to participate in the by-election triggered by Farage's resignation seeing the whole thing as a farce. As a result Farage will likely face only Count Binface, a space warrior from Sigma Six. He'd get my vote purely on the basis that he's promised to bring back Ceefax, and build at least one affordable house.
I did not expect this to be a real person. Is he with the Standing At The Back Dressed Stupidly And Looking Stupid party?
Then everything would theoretically be correct. The logical next thing to do would be to move all the time zones as well. But time zones already don't coincide with the lines of longitude in practice; they tend to follow country or internal boundaries somewhat close to the lines of longitude (but sometimes multiple hours away!). After a few thousand leap seconds, maybe one or two countries would feel it was helpful to readjust a time zone boundary to better align with solar time, but in practice this would never be the overriding reason for that decision.
You say people's GPS systems would all suddenly be wrong because they depend on locations in latitude and longitude? I don't think this is a problem either: in practice longitude and latitude are given not relative to the steel bar in Greenwich, but to per-continent geodetic datum points. This already prevents continental drift from affecting your coordinates, though a big earthquake can still mess things up.
It's like you buy a cat to help with your rodent problem, figuring the cat will eat mice and isn't much trouble to look after, but after purchasing a cat you find that your problem was actually rats, your cat is terrified of these large dangerous creatures and sometimes gets bitten by them necessitating expensive vet bills and now you need to pay a lot of attention to the poor animal and also now need to buy cat food.
There's a long tradition in the UK of having electoral candidates who don't expect to win but run because it's free publicity in a high profile race. "Count Binface" is a comedian who dresses up as a space alien whose outfit resembles well, having a Bin for a face. The serious political parties told Nigel to fuck off, if he wants to step down and then immediately contest the same seat they wouldn't run against him in this farce, but Binface isn't a serious politician so he is running in that by-election.
Nigel wanted to be able to do this whole thing about how the establishment is rotten and he (Wealthy public schoolboy who keeps lying to people and doesn't bother going to Parliament even though he was elected to do so) is a true man of the people and can put things right. It got him this far in life. But with the other candidate on your ballot being a space alien it's obvious which of these options is really "the establishment" and it's not the guy whose policies include "Building at least one house†" and who says he comes from a different planet...
† British political parties often insist they will build lots of housing because that's popular with voters. But, in practice they don't tend to really deliver because the various groups lobby not to actually build. So "at least one house" is a joke about this phenomenon, while conveniently also being technically possible, Binface could just build a house, that's a thing you can do.