If your bike is bogging down on the hills, ie it can't maintain roughly half of top speed on the hills on your route, then adding 12V won't help and will just lead to an earlier motor death. If it's not already struggling on hills, then yes it will help, and I feel your pain. I doubt that's going to satisfy you for long, and a better route is to double the voltage and reduce the wheel size. I guarantee the fun quotient will go way up.
Personally I don't understand how anyone can ride a vehicle that is ridden always at WOT, so every puff of head wind or slightest uphill grade slows you down. If you want to cruise at a specific speed to match a pedal cadence, adhere strictly to a speed limit, or for whatever reason, simply add a cruise control. I've ridden my main bike at top speed on flat ground only twice just to find out it's to speed. I cruise at significantly lower speeds,, and my chosen speed is primarily dependent upon conditions. If I want to cruise at 35 and I get behind a dump truck going 35, there's no way I'm going to sit back there getting sandblasted. I also don't want to speed a week hung out in the other lane making the pass. I want to quickly zip around him and go back to the speed of my choosing.
John