If you want a simpler solution which offers the best bang for your buck then using uBlock in medium mode is what I would recommend. This will block 3rd-party scripts and iframes (globally). Any page breakage that occurs as a result can be very easily handled by setting a noop for scripts and/or iframes for that pages scope. You can also block 1st party scripts if you really want to but it will likely cause a lot more stuff to break. uBlock can also enable browser settings that will prevent WebRTC leakage under certain circumstances.
On a side note if you're using even just uBlock then that will likely remove the need for running additional privacy extensions (save ones that deal with cookies) like Disconnect which also block network requests (you can use the Disconnect lists from within uBlock). uMatrix does give you the control over cookies.
Btw only hard mode stops any browser details leaking on the test site: http://webkay.robinlinus.com/ which is awesome, but I wonder how much time you have to spend fixing all the sites that you visit that will be broken in this mode.
Anyone using "hard mode"?
To unblock scripts just turn the 3rd party scripts block to gray which equals a noop for that. Green is explicitly allow which is what we DON'T want since we still want filtering from the filter lists to apply. Basically to unbreak sites you start with setting 3rd party scripts to noop then iframes if that doesn't fully fix a site. This setup is rather course grained but is the easiest way to increase security and privacy with the least amount of user interaction (the most bang for your buck basically).
As you browse with this "medium mode" you'll probably interact less and less as your dynamic filtering list gets built up. I wouldn't recommend using the "hard mode" since there's not a lot to gain from it and it will cause a lot more breakage.
Edit: Also I just noticed this but font blocking is also enabled in the medium mode screenshots. This isn't part of the described medium mode and the author of the screenshots likely forgot to turn it off before taking them. However you're free to try it out if you want but keep in mind it can break the look and feel of sites. Also it may not actually block the downloading of the font if you're using Chrome or a Chromium based browser so there's less of a reason to use it on Chrome.