Often, a bright white light shining directly into the cage can be VERY stress inducing for them. They don't need a "daylight" like that....just the ambient light that's in your room naturally is plenty for them to have a healthy day/night cycle.
As for heat...the heat pad should be hooked up to a t-stat as well. They can get far too hot if not properly controlled. The heat pad alone should be enough to heat the warm side of the enclosure, unless you've got a really thick layer of substrate. (If so, thin it out until the pad can heat the surface of the substrate without overheating the glass beneath it.)
If you still need supplemental heating to get the right ambient temp range...continue using the night light on the cool side. The whole setup should remain the same day or night as far as temps go. ~92 - ~82 24/7.