Voltage Regulator Q?

I have an electric fuel pump wired directly to the positive side of the battery with a fused circuit. Whenever I increase the electrical load on the car (brake lights, turn signals) the fuel pump speeds up or slows down accordingly.

Would a voltage regulator help me in this situation? I'm running a Holley Blue pump so the noise is quite annoying and I assume that the change in power to the pump will also damage it over time.

My car is wired different than stock. I have a positive lead wired to the fuse block like normal.

The fuel pump is on its own circuit separate and apart from the chassis harness. It is wired like this:

Battery positive - 20 amp fuse - inertia switch - positive side of the pump - negative side of pump - ground.

Since the pump reacts to any load placed on the system (windows, lights etc.) and the alternator acts properly (14.5 volts at cruise) then what can I use to regulate the power going to the pump.

The pump is on its own circuit and does not draw power from the voltage regulator on the alternator.