I sleep on the ice a few times a season. If your tent is well anchored and skirted in, you should be fine. A cot with some kind of pad, either inflatable or closed cell, a good sleeping bag, a buddy heater, a small fan and you are set.
Make sure you have a flasher.
I like to leave a line in with a bell even when I'm sleeping. It's cool to be awakened in the middle of the night by a walleye or burb taking the bait.
Have fun!