I had all 4 of mine removed while in the Air Force. They weren't causing problems, although 3 of them were impacted, but the dentist said they would cause problems later if I left them in.
Plus, extraction was free, courtesy of the USAF.
I've had a lot of teeth removed since then, and it does seem that it changed to tone of my voice, but didn't make it more difficult to sing (just more difficult to listen to

).