The question is,,,, can YOU build it?
It might work really well, but a few points I'd make-
1,,,,,,, rear-wheel-steering generally doesn't work well. A few designs are rideable, but none are positively-stable.
2,,,,,,, prone bikes (laying on your chest) tend to be very uncomfortable to use for long periods, because of difficulty breathing and neck strain. Some record-attempt HPV's have been done this way.
3,,,,,, treadle drive is not new, but the way you are using it might be. Will it have multiple gears, or is it a one-speed drive only?
It might work out pretty well for some purpose, even if maybe not for a general-purpose bike.
Good luck with building it.