One of the more irritating common misconceptions. 'Ye', as an old english word, meant 'you'. It has never meant 'the' as it would have to in order for Ye Olde Tea Shoppe to make sense. Christ almighty!
"You know, I bet we'd get a lot more visitors to our cafe if we tried to get the oldies in. You know, in a kind of 'Ye Olde Tea Shoppe' kind of way."
"You ignorant twat." (etc)