So it seems like the consensus (of two anyway) is to leave Alice Glover-533 as wife of James Bates and proceed with edits accordingly (disconnect parents, fix christening information, add research notes etc). Ann, I saw the note you added to her profile from the Bates side, thanks. Since you two did the bulk of the research I don't mind doing the edits.
Along with that, creation of up to 2 new Alice Glover profiles with what details we know of them; one of Maidstone (1583) and one of London (1592). I'd rather create the profiles now to get something in place with accurate sourcing just to help make sure nobody comes along later and re-conflates them. I'm sure the Sir William and Dame Ann as parents of Alice, wife of James Bates the New England immigrant is spread far & wide across the internet already.