I would try this to see if you can even get your lenses back.....if it is just the lens surface this should work,,,if it doesn't you will not be able to repair them

Buy the Sylvania Headlight Restoration kit (AND ONLY THIS KIT - no substitutes!!!) It should be $20 NAPA, Carquest and others carry it....Walmart hit or miss.

Try polishing a spot on the lense where the white is....no sense in doing the entire light yet...
Do the procedure in a small spot according to the instructions. It will still be cloudy / white when dry but somewhat clearer when wet sanding. Do the various sanding stages!
Once the final UV coat is applied it will dry crystal clear. You only get one shot at the UV coat....it gets tacky very quickly so only quick one way swipes or you will mess up the final coat and have to resand and redo - this is very important if you are doing an entire headlight for a final restoration.

I have used every product on the market and have a cabinet full of all of these headlight cleaners....Sylvania is the best no matter what you read! I have never found one that produced the same clarity on the lense as the Sylvania kit. But like I said - you get one shot at the final UV coat swiping...if you try to go back and redo and area you will likely mess it up. I have done it but it requires delicate touching and it would be noticeable.

Anyway...if the spot comes out and looks great then redo the entire light...even the spot...start from scratch...heavy to liighter sanding....go get wet sanding paper from Auto zone or Advance or Walmart.
If you get this far then in the end your lights will be really nice when you are done...and they will last a lot longer than any of the other brands out there. Mine are now going on two years out in the sun and they still look very good!
The most any other brand will give you is a year at best!