This is certainly true of some Anglicans, but these are generally folks who have rejected the core teachings of Anglicanism. They’re not really Anglicans; they’re liberals, and they’re not really distinguishable from the liberals in the Presbyterian, Lutheran, or even Catholic communions. I spent part of my Christmas vacation with a Catholic cousin who thinks the Church needs to come around to secular morality on homosexuality, and she’s a cradle Catholic who attends mass every Sunday. There are loads of Catholics who support women’s ordination, gay “marriage,” etc. I don’t hold James Martin and his ilk against Catholics writ large, and Catholics shouldn’t hold liberal Anglicanism against Anglicans writ large. If you want to hold anything against us, hold our history of Calvinism and Caesaropapism against us
Plenty of us do care about right doctrine, thus the existence of continuing Anglican communions like the Anglican Church in North America. The fact that we tolerate disagreement on some matters of doctrine is not indicative of believing that the truth is unimportant or unknowable; it’s a tolerance for disagreement grown out of the history of the Anglican Church. After all, Calvinists and Anglo-Catholics can both reasonably claim to be following the historic Anglican Church. I think the Reformed wing of the Anglican Church is flat-out wrong, and they think I’m flat out wrong for being an Anglo-Catholic. But we now think tolerating those disagreements and discussing them is preferable to, say, locking people in the Tower of London.