Hey, maybe we could hit the Gulf Stream with a 20’s Style Death Ray, and see what happens to the Brits! Maybe we could be their New Overlords!
You’ve obviously never been to St. Anthony, Newfoundland way up there on the northern tip of that island. Them folks can drink a bunch o’ beer, too. Ain’t much else to do in the winter months. 'Cept chase the mooses. And shovel snow, presuming it ain’t over the eaves and you can get outta the house.
I’ve always found it interesting that L.A.'s latitude is the same as North Africa’s. (I think the first major city in Africa at/near L.A.'s latitude is Casablanca.)
You will do better if you search by its scientific name … North Atlantic Thermohaline Circulation. 
The premise isn’t as easy as most links make it out to be. As the name implies, the circulation is driven both by temperature (cold water sinking in the Arctic) and by salinity (salt water sinking in the tropics). The two forces oppose each other.
Currently (nyuk nyuk nyuk), the surface-northward circulation dominates, that is, water flows northward along the surface, sinks in the Arctic, returns to the tropics along the bottom of the ocean, warms, and then rises. People speculate (and models predict) there exists another stable equilibrium for this system, where salt water sinks in the tropics, flows northward along the floor, rises, and then returns southward along the surface. This, of course, would have dramatic impact on global climate, and may have been the trigger for the last Ice Age.
Recently, scare artists from the global warming side have taken this information and used it to try and convince people that if we melt ice, then the fresh water will somehow float and stop this circulation altogether.
The scientific truth is that the surface-northward mode of the flow is a stable equilibrium - that is, given a small perturbation of the system, it will tend to even itself out and return to equilibrium. The amount of fresh water that we’d have to dump into the Arctic is absolutely enormous, and the system is unlikely to change because of a large perturbation.
However, periodic influxes of destabilizing forces could find a resonance in the system, gradually swinging it out of one equilibrium and into the other. Keep in mind that if this is true, salt water runoff from the Amazon basin (due to deforestation, farming, etc) is just as important as polar ice melting.
The danger is real but not imminent.
I’m wondering why the OP is talking about England, but citing Britain.
Sorry. I forgot about the “Isles”.
British Isles
The “British Isles” is also an old name for the British and Irish Lions.
I think you might find that a few Scandinavians will get mighty pissed off at you. We might even have to drag out that old gold helmet again. And you can be sure you’ll be paying double air tax. :mad:
No joking about turning the Gulf Stream, I need it to keep my feet warm. 
The Netherlands are pretty much level with the UK, yet Dutch winters are a good few degrees colder than in the UK. I think it’s because the British mainland hogs most of the heat from the Gulf Stream before it reaches Dutch shores.