This is incredibly difficult to do and all the attempts I am aware of have 'failed' by varying degrees (paywalls, app.net).
If ad-blocking becomes a trend, I hope the websites as the blockers to pay instead of resorting to "native ads" or going out of business. Hopefully, the internet won't be stratified (rich vs. poor peoples versions of the web), but who am I kidding - happens in all other industries.
However, my opinion is likely coloured by my circumstances: I am a biased 3rd-worlder. I'd prefer the status-quo and have the content I consume subsidised by ads targeted at the western middle class. I would not afford to pay for all the content I find interesting on the internet, especially now with the horrendous USD exchange rate.