Getting the same coatings and objective size is not how it works. Contrary to belief, larger objectives don't gather more light, they allow more in. As soon as you squeeze that 50mm or whatever down to a 1", 30mm, 34mm, etc tube you're now down to the light that can pass through that so the only thing you're actually gaining with that larger objective size is exit pupil. The barrels on binos are A LOT bigger than a scope tube.
As far as coatings and glass, that's all fine and dandy but a variable power optic has more lenses and complications than a pair of binos. Therefor further reducing light transmission.
You're going to need a lot better glass than those BX4's to see the same thing in low light. You need to be looking at higher end euro glass for the most part with a few exceptions. Swaro and S&B are excellent optically as is