Congratulations, Classic. What a great vintage guitar to have.
That bridge cover is precious. Most got removed for the same reason you're removing it, and then they got lost. To find a vintage Mustang with the bridge cover is rare and adds to the value of your particular guitar.
So keep it in a safe place while you enjoy the guitar. The original red for that year Mustang was Dakota Red. If you ever want to recapture the vintage correct look...(won't matter, one refin and the vintage value was diminished)... 😢 ... Fender Dakota Red is available from Guitar Re-Ranch.
By the way, do you have the A or the B neck?...I believe it's the A that's 24" scale with 22-frets, width 1-1/2". That's more valuable than the shorter 22.5" neck, narrow width, with 21 frets...unless you have small hands which would make it great.
Check out what our forum friend just posted...http://www.jag-stang.com/forum/topic/6885-my-1965-mustang/
Cheers,