Yes, I am extremely familiar with removing the trim on the '65 Corvette. I have taken mine on and off it several times now. It is sort of difficult to explain without the ability to load photos.
A big question though, do you have a coupe or a convertible, they are very different. Mine is a coupe.
There is a special tool you will need, and it is available. Without it, you can get the trim off, but only by destroying it! The tool is inserted between the windshield and the trim and allows you to open the clip just enough to pull up on the trim and release it. You must start at an end, not in the center, and be very patient. The trim is very easy to kink.
The trim is stainless steel and even if it has some scratches, it will polish up amazingly well. Getting a kink out, that is another story.
New trim is available, but 1) it is very expensive and 2) it does not fit correctly, especially the two side and bottom "L" shaped pieces. I went through hell getting mine to fit and it even required some body filler to close up portions of the spaces between the body and the trim.
More later, I'll try and find out where I got my trim removal tool from.