UnChanning Resemblance

Is it just me, or are Carol Channing and Phyllis Diller the same person?

Maybe it's just that I've never seen them on stage-slash-screen together at the same time, but someone get these two in touch with Mel Gibson, cause I think I smell Conspiracy Theory 2.

Oh, p.s., Phyllis broke her hip. Amazingly, they are both alive.