As John Young said above, if you were going to do that, I, too, would simply remove everything and start from scratch; there's virtually no point in letting the ML amp do it's job, then attenuating the signal by passing it to a high-level input on another amp just to re-amplify it. Typically, the only reason to use a high-level input is when adding an additional sub-woofer amp, where fidelity is far secondary to brute force and power.
Another point to consider, however, is that components being 20 years old has precious little to do with their quality, especially in the world of audio. Yes, foam speaker surround where out and need replacing. Other than that, as long as the amp and head unit have not been exposed to moisture or otherwise abused, they are of great quality and worthy of keeping up in my opinion. I still have not heard a more natural sounding system in any vehicle than the ML system in my LX. Louder, yes. Better, no. If you're having trouble hearing lyrics clearly, try some of the various eq and processing options present w/in the menu structure of your head unit.
As a life-long obsessive audio aficianado, and semi-professional recording engineer, my goals are always to keep the signal path as simple and as short as possible and use the best gear I can afford. "Stacking" amps in your suggested scenario is just not a good idea; it might make your system louder (and it might not, depending upon what you use), but it will almost assuredly make it sound a lot worse. Not only will you be adding additional distortion, but you'll actually be amplifying the unavoidable (and admittedly minisculse) distortion that ALREADY exists.
My suggestion? Get the proper surround repair kit(s) and experiment with the processing settings to find the sound you like. If there's something truly wrong with the amp, get it repaired. OR.. take everything out and start from scratch. Of course, what I think doesn't really matter... just giving my opinion. YOU should do whatever makes YOU happy!