Well, here's the fix. Yes, it will take time to clean it up, but not a lot of elbow grease.
Note: Do not use Wire Pads on smooth stovetops, I would use a Magic Eraser just because I love those things.
Heat oven to 350 degrees for about 20 minutes or do this after you have cooked a meal and the stove is still warm. You may want to leave it on low to keep it warm.
Spray stovetop with Homemade All Purpose Cleaner
Spray Baking Soda with Lysol Power & Free Mult-Purpose Cleaner. The Soda will begin to foam; like pictured above.
Allow to sit 15 to 20 minutes to let the Soda do its job.
Using a Wire Soap Pad, begin rubbing the surface.
You can spray more Lysol or All Purpose Cleaner on stubborn areas. This will cause baking soda to foam back up.
Wipe away residue with clean paper towel or sponge.
Don't get so excited about the easy fix that you forget to turn off the oven!