In general, it's much easier to link a binary with its libraries than go in to the opposite direction (extracting common code from static linked binaries), because once you statically link a binary the library code will vary slightly due to differences in memory addresses, compiler optimizations, unused code that has been omitted, different input library versions, etc.
Even if you were, in theory, able to write a complex filesystem driver that is able to extract the common parts of statically linked libraries so they can be deduplicated, then to reconstruct the original binary in memory, you'd have to perform something similar to dynamic linking, except now in the kernel, which really isn't an improvement.