Indeed, that's one current of Anglicanism. But then you have the more evangelical wing, the liberal wing, neither of which will look Romeward anytime soon. Lot of different currents there. Plus, even within the Anglo-Catholic fold, there's a school of thought that holds "we are Catholic already" and so sees no need for corporate reunion.
FWIW as a Roman looking at this, I think the *entire* Anglican body reuniting with Rome is a pipe dream. The Communion is shattered now, probably for good, and sionnsar has said that he thinks the compromise that has held these disparate elements together for 400+ years is effectively dead. There simply isn't enough cohesion at the institutional level, and Abp. Williams can't provide it.
What is happening is that some movements that come out of Anglo-Catholicism are seeking corporate unity with Rome (e.g. Hepworth and the Traditional Anglican Communion). Others will proceed on as continuing churches, etc.
I don't think the whole Anglican church could possibly reunite with Rome, certainly not with the way one branch has gone off the rails on moral issues. But the more I thought about it, the more I could see the logic of at least some of them wanting to get back to Rome.
These churches must currently be feeling very alone in the world. The African ones must be particularly distressed, because they are under attack from outside forces - ranging from the Muslims to anti-religious, socialist governments - and from forces in their own church, that is, the liberals of ECUSA and whatever its Brit equivalent is. So it would benefit them enormously to tie into the larger Church and would probably provide them with at least somewhat better protection for their flocks.
And of course, for the Catholic Church, it would be great. It would consolidate African Christians, thus making it possible to present a more unified response to challenges.
It sounds as if they do not want to be part of a special "rite" or jurisdiction, but simply to come in, keeping what they have, but with their bishops being responsible to Rome. I wonder what the administrative aspect of that would be.
BTW, I met some of these African Anglican bishops recently, and they were scholarly and impressive people. Of course, they also had those wonderful African accents and that incredibly charming manner Africans have, so they'd be a social plus to us all!