You can use both under the right situations, but normally, strobes are more comfortable for people, while hot lights are really best for product.
I still use hot lights for much of my product work, but mostly use strobes for people work.
Mixing lights can create nice warm toned effects, if done properly on people, or when you want to warm up some elements of a scene.
The types of lighting you use, is often a matter of tool selection, like everything else. I still use fiber-optic hot lights, for very small work, with small custom made modifiers, when soft light is needed.
Since I also do lighting for video, I can also share that video lighting is much different than still work. The ratios are much higher, and hot lights are necessary with video or motion picture work. Of course, you still have the usual color crossover problems, when mixing sources, and have to filter for them.
Another solution, is the flourescent light bank (Lowell or comparable), which gives you a continuous light source, but without the heat. There are daylight color correct lamps (as well as 3200 K) available for flourescent, as well.
Lighting is the most important element in photography, and having the knowledge to work intricately with lighting, is important for anyone doing pro level work. [img]/ubbthreads/images/graemlins/cool.gif[/img]