I had a windshield on my motorcycle start to get hazy and tried a headlight repair kit on it. Completely ruined the whole thing. And windshields on a Goldwing aren't cheap. In my desperation, I bought a bottle of Turtlewax Polishing Compound for less than $10. I used a buffing pad on my drill and worked that windshield for several hours. I was completely shocked when it came out as good as new!
I have tried the same thing on headlights with similar results, and it doesn't take more than a few minutes of buffing. Might be a good option for an easy/cheap fix.
First off, a Goldwing? Really? You have kids under 30. You can't own a Goldwing yet!
Second. The Turtle Wax rubbing then polishing compound method is great. I've used it several times with great success.