I think the general feeling here is strobes are better than lights. Strobes are certainly more powerful than lights for the times when it's important.
Specific to the HID lights, you'll find that strobes render color more accurately in addition to having greater reach.
The advantage of lights is that autoexposure becomes easy. Typical small lights will be very limited in power, not very wide, and will have limited burn times (although that's probably OK). The HID's have (relatively) poor spectrums and require warmup times before their color is best.
You get more creative options with strobes due to their high power, so that's really the best way to go.