You could cut them off, but then you can't use an old style bubble level alignment machine to align the headlights. If this doesn't matter to you, cut them off.
If the headlights are very yellow and have peeling clear ( factory applied stuff ) I start with P400 on an orbital ( if you cut the pegs off ) to remove all the factory applied clear and remove small pits from rocks. Next, a thorough wet sanding with p600 on a soft foam block. You can clear over P600 with a good quality automotive 2K clear. Nothing I am aware of in a spray can ( 1K ) is going to give you anywhere near the durability or UV protection of a professional product.
Wash the headlights and tail lights with soap and water very well before starting sanding, and again after you are done. If you have them all sanded, washed and prepped, a body shop might clear them for you fairly cost effectively.
If the reflectors have any dulling or peeling, you might just be wasting your time. OE headlights have a better pattern and distance than any of the aftermarket ones I have seen, although I haven't seen the TYC Elegante headlights in person.