That's the way I've been saying it for several decades. When I first got mine, in the mid '80s, I made the mistake of pronouncing it with the long I like "carbide", and was quickly corrected by my WWII veteran grandfather.Carbine is usually pronounced Car-bean
And according to the Man it is Guyz-lee
Come to find out though, the other pronunciation is OK too; lots of people say it that way. Oh well, to each their own.
The only thing that's really wrong is the assertion that there's definitively only one way to correctly pronounce it.