This is like saying that Gandalf and Saruman are the same person. I mean come on guys, really?
You see Saruman was known as Saruman the white, but Gandalf was known as Gandalf the Grey. Saruman the White was the top of the Wizardly order, with white being purer and higher than Grey.
Now, i know there is some confusion, since Gandalf the Grey does eventually become Gandalf the White, but thats not till after Gandalf kills the Balrog at Kazad Dum.
So yes, we do have a Saruman the White, AND a Gandalf the White, but they cannot be the same person, as Gandalf was Gandalf the Grey BEFORE he became Gandalf the White. BTW, there is another Wizard named Radagast the Brown, but we wouldnt want to confuse things, so i will leave him out.
So guys, please dont get hung up on "specific words", and "phrases". This stuff is easy to see and clear as can be. The Father/Saruman the White, cannot be the Son/Gandalf the Grey/White, and leave the Holy Spirit/Radagast the Brown outta this, ok.
Simple enough.