I the great trouble thinking of Baptists as part of a Church in which they don't believe.
Well, I can only say this is my own opinion, and I do not know of a stance on this issue that would officially bind Anglicans, but I would argue the boundaries of the Church are ambiguous. Many who said "Lord, Lord," will be told to depart, "I never knew you," and yet others will be recognized as faithful.
Furthermore, if we accept the validity of baptisms occurring in Baptist contexts, then in some way the baptized are joined to the Church. Certainly Baptist ministers intend to baptize even if we argued that their theology of baptism is incomplete or flawed.
I would be interested in understanding better the Baptist views of the visible Church. But there is a point to be had that their denial of sacraments distinguishes them. In fact, I do not see how some forms of reducing the sacraments to ordinances is not effectively to abolish at least the holy eucharist.
The (non-liturgical, non-sacramental) communion services I've seen in some contexts have been reduced to a private devotion, not even necessarily requiring an ordained minister or congregation. My great grandfather told me that we can remember the Lord anywhere, anytime. Therefore a pious Christian man or woman can observe the communion all alone in his bedroom with a cracker and grape juice, no formal liturgy or service required, no one else need be present. He didn't even see a need for the communion of the saints to be present spiritually for the ordinance. It was all based on "remembering."
I do not wish to presume what the Lord will do in such a circumstance. He is not, after all, bound to the sacraments, and he will honor a sincere faith and devotion, I believe. But if that is what communion has been reduced to in some communities or by some individuals, it seems to me that they have abolished one of the sacraments.
Some Oneness Pentecostal churches, I've heard, have gone as long as five years with no communion service. One I attended in my teenage years never had one as long as I was attending, and I suspect they had never had one.