"But I think your view is an unusual one OP. In my experience the reason many Anglicans are Anglicans is because of the cultural heritage the institution represents, and would have no interest in selling it off."
That depends.
Anglicanism in the UK incorporates several distinct movements.
You have the happy clappy rock music-playing 'personal relationship with Jesus' people, who are just as happy meeting in someone's house, or a muddy field (as long as there are guitars and drum kits!), as in a church. These churches tend to be younger and often have quite strong, urban congregations. These churches tend to be keener to modernise, and though some are in period buildings, they will not appear stuck in the 16th century.
You have the middle of the road churches, which may or may not be doing well depending on demographics, local schools, etc.
Then you have the anglo-Catholic types with incense, choirs singing in Latin, usually in cathedrals or a few old churches.
You can't proscribe any one of these as correct, I think the bells and smells types tend to be a bit snooty about the hand-wavers, and the hand-wavers suspect that that the bells-and-smells folks are in it for the ritual as much as anything, but they are both in the same church.
I think for some people the sense, as they sing 'We Plough The Fields and Scatter' to the booming pipes of the church's organ, sat in a draughty pew in a 14th century church, that they are part of an ancient tradition, a continuity and a link to the past, an act of worship in itself. Others seem to regard any such ideas as idolatry, and only want to belt out in an austere building.
It would however seem a shame to follow in the footsteps of the Wahabbists, and bulldoze our religious heritage, or else sell it off for thirty pieces of silver. It still is an important part of the fabric of our country, and we should not tear it up with great haste.