How to check and correct editorial changes to a manuscript post-acceptance?
I've run into bad editing situations like this. In these cases, I've gone through the paper line by line, with a fine tooth comb. Yes, it is painful, but it is a  good idea even if the journal editors aren't obviously screwing up. (This can get doubly horrible if you have complicated formatting in your paper.)
You should bear in mind whoever is doing this is unlikely to actually understand what you are writing, and my experience of people doing this sort of thing is that they can be well-meaning and not too bright, so they can take it upon themselves to "correct" your manuscript, while not understanding what they are doing. Additionally, if you give them last minute changes to the paper, make sure to check they have applied them correctly. Are you the sole author? Can you get anyone else to help with this? It would make it less awful. 

Your other ideas sound less viable. Asking for a list of changes assumes that there is someone there who actually knows what those changes are. My experience is that journal staff are often amazingly technically incompetent, and probably have never thought of using version control for example. though I'd love to hear about the exceptions. But you can certainly try to insist.

Your passive-aggressive ideas just sound bad. You don't want to withdraw your paper over an issue like that. And if there are errors in the paper, they will reflect badly on you, and nobody else will care.

At times I've thought someone should start a site like ratethisjournal.org where people could discuss their experiences dealing with different journals.