If it was a tuning fork movement Accutron, I could give you a good idea wha it's worth nowadays, but not this watch. Try Ebay. If you find a few of the same watch, you could probably get an idea what people are paying for them there, which is usually less than an actual collector would. Or just Google "1945 Bulova US Military Watch. You'll probably find at least some for sale someplace, and can get an idea that way. I see a couple that look like WWII, includine one with the military markings on the back, they're asking from XXXXXXX for them. Whic h is not nevessarily what they're WORTH, especially to an actual collector. But it ought to give you an idea about where you might want to start.
If I were you, though, I'd replace that crystal before trying to sell it. A "bad looking" watch never brings as much as it could, and a new, clear, crystal will probably increase what you can get for it by more than the crystal will cost you.