The I apologise - I'm not overly familiar with the film. In fact I suppose I need to apologise to all Jehovah's witnesses as well as I've just insulted all of them by implication. Sigh.
But I still think you're wrong about the bi-amping thing. Right about the "just buy a better amplifier" bit but perhaps failing to understand some of the more unfortunate financial implications of that for many of us mortals.
Essentially...
The amplifier presents its voltage amplified signal to a load and current/power happens as a magical consequence Ohm's law. The amplifier has limitations on power and current, and these are different - which is why few amplifiers manage to double their output as impedence halves. Voltage clipping is only part of the issue, and I don't think it's the problem we're trying to solve by bi-amping - because bi-amping isn't a solution for it as you quite reasonably suggest.
What the crossover does is provide high-pass and low-pass filters that vary that load according to frequency - the tweeter is attached to the other side of the high pass filter and the woofer to the low-pass filter. If I attach one amplifier to the high-pass only part of the crossover as in a bi-amped situation, then that amplifier sees a load that varies with impedence. It amplifies the entire signal just as you say, however, the low frequency part of the signal, while amplified in voltage just as much as the high frequency part, does not draw current/power because it faces a high impedance. If you think about it, if it did draw power, then the tweeter would actually have to move in response to that and would bounce merrily off your forehead (assuming a little speaker toe-in of course).
So a second amplifier in this situation will, as discussed in my previous post, be highly beneficial.
Remember also that we are not talking about the average level, we are talking about the transients. If you ever used a cassette deck (back in the days when Dolby was something you turned off rather than on) you probalby had the experience of trying to get music to sit above the noise floor while at the same time actually having some life left in it - something I never really managed to do until I discovered metal tapes where the headroom was just so much greater that the snare drum didn't just slide back down into the mix and everything became dull and lifeless.
And when you doulbe the volume, you need rather more than double the power.