The problem with trying to get rid of flicker with incandescent lights is the power consumption. You can do it, but it requires some really large components! If you add a rectifier and a large capacitor, you can buffer the incandescent lights. However, depending on the lighting power requirements, it will be a large or very large capacitor! If you go the LED lighting route, you end up with much more even lighting that is flicker-free and also has intensity adjustment capability. Did I mention that you also cut the power requirements by 90-95% as well?
You can go with the turn-key kit that has everything you need to light two passenger cars: Passenger Car LED Lighting Kit
You can also just use the regulator module and supply your own LED strips, if you don't mind a little soldering, this cuts the price in half: LED Lighting Regulator
