My 1946 Burb has 4 side windows with no metal trim like the cab doors have.

I need to shave the glass about 1/16 to 1/8 inch in order for it to move smoothly up and down in the new window channels and wood frames.

Can anybody suggest a process to do it? I am thinking using a belt sander with a fine sanding belt.

Am I on the right track? The amount I need to remove is too small to use a glass cutter.

Any help or suggestions are appreciated.