Will this 904 trans work in 65' Barracuda?

Thanks for the help guys! It's a factory floor-shift, not the push button shifter which I think was in the 64's? I may just put an aftermarket floor-shifter in it if I can't bolt in the trans I listed. I'd like to keep the factory shifter-console though, hmmph Chevy's are much easier lol.

If your Cuda was a 67 or later it would be much easier to build, the early ones are a pain