To get this through what you have to do is

a) create a Chrome clone that rejects third-party scripts and has other security enhancements by default (do browsers really still need http support?). Then, you can say "Your site doesn't work with SuperChrome!" and shame until they fix it, to reach also the SuperChrome users (hopefully growing in number). SuperChrome cannot be a loose set of extensions, it has to be a well-defined thing.

b) have other services treat sites preferentially: higher throughput, better caching, higher ranking in search results, better user retention. I think this can easily be achieved, because the load-time will be shorter on such sites, therefore users will stay longer, and faster sites are already preferred by Google. This is the "AMP route" btw.