Good question and one I've wondered about so I did a google search "cast iron cooking on a glass top stove". Will the skillet scratch the glass?? -- sure it will if you drag it across the glass so make sure the bottom of the skillet is smooth with no burrs and place the skillet on the stove BEFORE turning on the burner. Will the skillet get to hot for the glass?? -- maybe but if you set the stove no higher than medium and shut off the burner just before the product is done and let residual heat continue the cook you should be OK.
All that being said, you should conduct the same google search I did and decide for yourself. Also, conduct the test to see if it works when your wife isn't home so you'll have time to make up a story as to why you ruined her glass top stove!!!