There are other ways to make money. They don't need big big data. They don't need to destroy my privacy.
... providing they want to see massive reductions in profit margin. Corps (businesses in general) want big data because information == profit, flat out. The better their understanding of the consumer base, the more able they are to make profit. Especially in a 24/7 heavily interconnected world, to be behind on the data is effectively to be dead. Without that and the flexibility and responsiveness it brings to businesses, competing with companies that
do have that information is frankly impossible, especially over the long run. All other things being equal, the company with more information will outperform (and effectively kill, given enough time) the company without.
Basically, you'd need some other message if you were going to push through better privacy controls with any degree of corporate acceptance. Because cutting back and cutting off data collection, in just about any way, is saying "We're going to gouge out your eyes, break your hands, and hamstring you" to competing business entities. You're going to need either a really damn big stick or a helluva' carrot to get them to not fight that with every ounce of resources they have available.
Which isn't to say m'not personally pretty ready to get out the icepicks, hammers, and tendon cutters, but part of figuring out how to get that done is knowing just what you're trying to do, from the perspective of the proverbial enemy.
... though it's probably notable those examples you mention have
considerably less to do with big data type stuff than it does with simple customer convenience. Those problems weren't symptoms of rampant corporate privacy invasion, they were symptoms of an economy going digital and certain (idiot) companies deciding to skimp on security (and/or hiring bloody idiots somewhere along the lines, either/or).