I agree with Tor that I don't see that lighting up your reflective tape with your own lights is going to work. The reflective tape shines a light back at the source of the light - so when illuminated by headlights the reflected light goes right back to the car (and the driver's eyes are close enough to his headlights to get the full brightness). But if lit up by your own lights the reflected light goes back to those lights which might not be anywhere close to the right direction to be seen by other traffic.

California and many other states have various requirements for reflectors no matter how many lights you have. And they provide good redundancy that's always present on the bike and never gets a dead battery. Reflectors can be particularly effective on moving parts of the bike (wheels, pedals , shoes, cranks) since the motion catches the eye of the motorist and also immediately identifies you as a cyclist. I've supplemented the little reflective tabs that are on my cycling shoes with big yellow reflective patches (about 2" x 3" each) that really show up well to following traffic, added similar patches to my bike bags, and put reflective tape on the rims and crank arms. But I view the reflectors as secondary to my lights.