Before you jump into it, you must investigate to see if it's the "line-borne" noise or is it the "air-borne" noise that affects your garage door opener.

Also: how old is your garage door? If your garage door is over 15yrs old, chance are, you are using those crummy old lower frequency remote (similar to my FIL's 30+yrs stanley door opener, which, anything can affect it's remote from working properly).

I've done some research using my 10 yrs old Chamberlain 1/2hp chain drive with security+ remote, I tried ordinary light bulbs, Ikea LEDs, GeeEee LEDs, no issue with the range whatsoever.
Good luck on your investigation.

Garage door opener is about 7 years old. I'm convinced its from the cfl bulbs in the light fixture plugged into the garage circuit. We are buying a new lighting fixture with different bulbs.

Any update on this? Was it the CFLs?