No, it looks like either somebody installed a spoiler, or replaced the hatch on your car. I do not believe any 86.5 Supra's had a spoiler, as there were no turbo models. However, that may have been a dealer option, I'm not 100% sure

That is correct. I believe the main part of the spoiler will mount to those holes that you have plugged, but the two pieces on the fenders will need holes drilled for them

Finally added a signature to help in this area. I failed to mention that the Turbo emblem was on the car when I bought it. I decided to leave it there and benefit from the additional horsepower.

So the hatch may have been replaced? Did any 86.5 come with the spoiler? It doesn't look as though this hatch ever had one mounted, just has the holes that have OEM looking plugs.

Spoiler
 

I prefer the 3 piece it reminds me of my 70 camaro that had the 3 piece spoiler. I currently have the spoiler shown above on my 86 but would like to have the 3 piece does anyone know if the holes are the same in any way from one to the other styles? Does anyone have a 3 peice for sale? Sounds like I am ordering chicken doesn't it? Thanks

Original or Extra Crispy.

Does anyone have a picture of a 3pc ?

So in 1986.5 was the spoiler an option?

the 3 piece with biscuits
 

Here you go. Good ol Google Images comes through again. I'm sitting here wondering if my body is sore enough to tackle this timing belt today...ARGHHHH!