The fact that YouTube comments are disabled always raises an eyebrow for me. Granted, the comments section of YouTube videos is often a cesspit of idiocy, but preemptively disabling them sends a message that the author is not willing to entertain any discussion.
They are, of course, exactly right about the problem of economic and population growth. These will require political solutions - in other words, we're screwed here.
BUT! The whole last third or so of the video has a strong sense of "There's no perfect solution, let's not bother trying." They say solar won't work, geothermal won't work, hydro won't work, nuclear won't work, biofuels won't work, wind won't work, conservation won't work... and they put all these things in comparison to our total needs (eg you'd need 140,000 square miles of solar panels to meet world demand) but never actually account for the combined effect of all these partial solutions. This, despite opening that segment with asking if a"patchwork" of alternatives could solve the problem.
Continued growth is impossible, but I don't think freezing the world more or less as it is (w.r.t population/economy) is impossible, nor do I think continued technological progress is impossible - all we have to do is not let the lack of a perfect solution paralyze us into inaction.