I know analog guys don't like to hear this, but a small microcontroller could easily meet all of your requirements. It would be easy to modify its operational parameters even after the hardware is built, and it would have by far the lowest overall parts count.
A built-in ADC could digitize the audio (as well as the voltages from your control knobs), individual outputs could drive the LEDs, and a single PWM output could drive your motor (with suitable output buffers, of course).
At the top of the chart it says "Vcc +- 15V."
Then it gives the maximum output values Vom as +- 13.5V. So, it does not have rail to rail output.
Then look at Vicr. That's common mode input voltage range. Typical is +-11V when operated on +-15V. So, input is not rail to rail.