I don't think this will result in a flood of for-reals programmers any more than math or writing courses result in tons of mathematicians or writers. What it could/should result in is a future generation of people who even if they don't seriously pursue programming are at least able to hack together scripts to automate tasks that are important to them, just like they are now (hopefully) able to do enough math to get by or enough writing to communicate ideas in whatever field.
So I'm in support of the idea fully, though like barbs I think the video is fluff marketing bullshit that paints an inaccurate picture of most software development.
There is quite a bit of focus on the jobs aspect here, which will inevitably push people towards the business.
When I was a student, there was a similar push for teachers (a field also having a shortage of people at the time). The result is that I have several friends who are fully qualified to be teachers that haven't been able to find work in the industry for many years now.
I agree that simply having programming in school isn't going to see everyone becoming programmers. Programming has been offered in the schools here since at least my father's time – though there does seem to be a disproportionate number of programmers come from my region, for what it is worth. However, code.org specifically does seem to come with the purpose of trying to bring more people into the industry.