Muslims have no central controlling figure, neither do Protestants. Perhaps, you could just bow to Mecca as well.
I am sorry if I led you to such a terse response. Was just quoting the good ol' Padre from EWTN. Please see the link.
If your 'central controlling figure' is Mary or the Pope, then you are correct. Christians follow the Voice of the Good Shepherd and He don't wear a pointy hat.