Is this not what a phased array/beam steering is? Use multiple RX or TX with certain phase shifts, locked to one LO, to create a directive response. Only in certain directions will signals interfere constructively (IE, gain), in all others it will cause destructive interference (directivity). Even correlated noise (ie, external blockers/interferers) will be lowerd unless they are in the direction of the beam.
Your received noise floor will not be better, but your signal will appear stronger, hence better SNR.
You do need to take this into account when designing the antennas, esp. if you are using very low-gain, omnidirectional antennas to form the array. They will influence each other, and cause a change in their beam pattern, phase response and impedance.