The preposition "about" does not work for this phrase. A native speaker would understand the meaning, but the correct and most common preposition is "over". For example, "The man went bananas over losing his job." This conveys that man was very angry or upset. The preposition "for" can be used as well with a slightly different meaning. "The kid goes bananas for new toys." This means the kid acts crazy for new toys. It is not very common, but it is used and most native speakers may know it. In simplest terms, "to go bananas" means "to become very emotional". It often involves becoming mad or upset, but it may also be used for being happy or excited. Typically when someone "goes bananas", they act differently than normal, for example shouting or running around.

Yes, agree with the above. I don't hear that expression used too much these days, but everyone would understand.

I went bananas about it or over it I went bananas with him or at him all four work. Basically it means that you are going CRAZY, MAD, FURIOUS. So think shouting, waving hands, throwing things.