Buy an aftermarket flywheel done mess with the factory one, just my 2 cents.

An aftermarket one will weigh less then 1/2 what the stock one does... a machine shop wont be able to take off that much weight safely... also they will likely charge a grip to do it. When i called around about that exact service on my eclipse they told me 2 things 1, dont do it and 2, if they do it it would cost 50 for the "resurface" and 125+ for the lightening. that means about 175-200 out the door, a new flywheel that is half the weight is ~330.00..