A VPN + Incognito should be enough. Not to truly anonymize you, but probably enough to disable the personalization layers. It doesn't make economic sense to waste engineering hours and computing time trying to show ads to the 0.0001% of paranoid users, which are likely blocking them anyway, even if the data is there.
Of course, there's no such thing as the vanilla user. You'll still be targeted on generic features (location, browser, OS, etc). A vanilla Linux user in SF is different than a vanilla Windows XP user in London.