You should at least be changing the capacitor values in each band so you don't end up with silly values like 7.6 meg.
If you get the outputs from each band to be reasonably close, you should be able to trim it so each LM3916 shows the proper level with a (same amplitude, different frequency) test signal in each band and make a reasonable looking "spectral analyzer".
Personally, I would do it with active filters for the filters. It would only take a few op-amps to be able to make the filters much, much, much better....