That would be pretty flimsy. Check out the Evergreen Plastic sheeting at your hobby shop. This is the very same plastic your model is made of, so it will react to your glue and putty the same way the model does. The milk bottle plastic will not, and it'll always be too flexible.
Evergreen sheet comes in various thicknesses. You can get an assortment of .01", .02" and .04" sheets in item No. 9008. You can then test the remaining dive plane against the sheet to check for the thickness you'll need. If you need something thicker than .04", the sheets may be laminated together using a quick-setting liquid glue such as Weld-on or Ambroid (do this in small pieces not much bigger than your part to avoid warping and clamp them tightly while the glue cures).
Once you have your part cut to the correct outline, then you can file and sand it to its final shape and nobody will ever notice that it's not the original part.