Can a Labour prime minister get on well with a Republican US president? Or a Conservative PM with a Democrat in the White House? The short answer is yes, absolutely. There are plenty of examples of a good relationship and close bond between a Labour prime minister and Republican president. And vice versa. Indeed, some prime ministers and presidents from seemingly opposing political parties have bonded for the simplest or most trivial reasons. Cigars, toothpaste and burgers, for example.