Well... yes and no. (You did ask a "yes or no" question of an Anglican! *\;-)
There was the original Elizabethan Compromise which joined two groups, Evangelical and Anglo-Catholic, who really wanted to have nothing to do with each other. (Somebody described the two by "what's more important": to the Evangelical it's the preaching, to the Anglo-Catholic it's the worship.) As has been noted, this has been the source of continual tension within Anglicanism and in at least one sense not a strength, given the departures of such as the REC when the Anglo-Catholic wing ascended.
The phrase you quote is one I never heard in the Episcopal church, from Sunday school to age 31. I only started hearing it when a new kind of "diversity" gained the ascendancy in the Episcopal church -- and it's really funny how that "diversity" mirrors the liberals' use of the word in the secular world.
Well, it seems to me to be an odd thing for a Church to say. One would think that a Church might say that its strength was Christ, or its orthodoxy or its monasticism, but diversity? Odd.