Nope, we invented the car, at least the first worthwhile, mass produced version, and always intended for everyone to drive on the right, (everyone can see that it's better that way.) The Brit's weren't driving vehicles when we had them on the road, and we didn't hang onto our anger towards them after the early 1800s (aside from a bit of concern over their naval alliance with the Japanese after WWI, which we broke up through, honest diplomacy (and a wee bit of wire tapping).
Obviously you haven't heard of the horse and cart - that is STILL classified as driving.... Remember the early cars required someone to walk in front and wave a flag!!!
and the whole toilet bowl flushing the opposit way thing.
That's to do with being in the northern vs southern hemisphere.... US and UK spin the same way, which is opposite to Aus and NZ... Lets leave it at things people made/chose to do a particular way as opposed to how physics makes things work....