Xenon lamps do not "burn" at the temperature of their color rating. They are much like flourescent lamps, however they produce photons in the visible range instead of the UV or another range and then rely on a surface coating on the ID of the glass tube to convert the invisible photons to visible ones. Here is a description from Sylvania:
"Definition of HID
High intensity Discharge lighting is light from a plasma discharge rather than a filament. The system involves a ballast to start the light and certain gasses to create the light. Overall the system uses less energy than halogen lighting, while producing 3 times more light.
How HID lights work
High Intensity Discharge Lights do not have a filament. Instead light is created from an electrical discharge between two electrodes in a micro-environment of xenon gas and metal halide salts. The light is emitted by an electrically energized gas -- a plasma discharge-- formed and sustained between the two electrodes.
The distinctive blue-white light of HID lamps stimulates the reflective paints in road markers and signs creating a safer driving environment. Additionally, the increased light output is designed to illuminate a wider area in front of the vehicle, improving visibility and safety, without disturbing the vision of oncoming drivers.
XENARCÂ® HID lamps have over three times the lumens per watt of traditional halogen light sources and are more efficient at converting electrical energy into light. They produce at least 70% more light than traditional lamps, and use less power while producing less heat. This gives designers new freedom to explore the frontiers of front end design. By creating more compact headlights to fit smaller spaces, better aerodynamics are possible."
Color temperature has nothing to do with the bulb temperature, or at least it shouldn't. For example, your computer screen has a white balance, or color temperature you can set, and it is similarly described in degrees Kelvin. This represents a theoretical black body temperature that would radiate the same distribution of colors. Reddish tones are "cooler" and bluish tones are "warmer" or "hotter." Check this page in Wikipedia:
So, changing the color temperature is usually manipulated in a HID bulb by altering the constituents of the gas. Given they produce three times the number of visible photons with less actual power, I find it hard to believe they will subject the lamp socket to temperatures that exceed a typical tungsten filament "Halogen" bulb, like an H-4 or an H-7. But, it is all in the details, so I would go ask the manufacturer.
Do some research. The color of the light has quite a bit to do with how things are perceived by the human eye, and more bluish colors tend to fatigue the human eye. Probably not a good choice if you intend to drive long distances at night. Jim