As usual those who are either malicious or ignorant of the facts and the faith portray the Anglican initiative against a false backdrop of "concern about falling memberships" and "empty pews."
Yes, of course, all faiths are concerned about those who become lukewarm (whom God warned he would spit out of his mouth... not a good thing for avoiding hell) or fall from faith in total. So of course "empty pews" are a concern.
This is totally separate from "poaching" and other competitive motivations. Let's face it: politicians and the media have a total "winner and loser" "game" approach to life. So they see everything through those sooty glasses, so to speak.
Any Christian who knows the faith (and Muslims know this too about their faith) realizes, however, that sacred scriptures order unity: ONE church. Jesus himself repeatedly exhorted that Christians are one body and one global church.
So any unity efforts cannot be accused of being a "competitive" move. It has been one of the most grievous failures of Christians as a whole, generation after generation, that they have schismed and split. Trust me, God won't be handing out "belonged to best denomination" medals at a person's death and individual judgment; quite the contrary indeed.