I feel compelled to use the song in a video! Of course I don't mean the full 40 minute version. There's no way I can make a video of the whole song unless I'm insane! But the short 3 minute version from the band's best of and greatest hits collections I would like to try and do something with. According to the Wikipedia article:
The simile "Thick as a brick", in English, is an expression signifying someone who is "stupid; slow to learn or understand".
After reading that, one character that comes to mind is Sousuke Sagara from Full Metal Panic, but nobody else at the moment.