Once you have the product I can't stop you from doing whatever you want with it. I can't guarantee how anything you do to it will work after you modify it.
If you hard wire in to a 12V system make sure it is fused (always a good practice for any electrical system, that's why everything on your car has a fuse to it in a fuse box). Additionally the cigarette lighter plug on the light will be fused for redundancy.
On 120-240VAC inputs it comes with an easy adapter to the car plug so that it is safe and easy. I'm not condoning this but if for some reason you want to use a different power supply to make the 12VDC you want to take the necessary safety precautions. Make sure your power supply is UL listed or listed by another Nationally Recognized Testing Lab to UL standards. Class 2 power supplies are best as they are rated to have their positive and minus touch without overloading. Follow all electrical codes as applicable.
Hope this helps, enjoy!