That's pretty much exactly what theorists are trying to do. For example, we used to think that electricity and magnetism were different forces and subject to different equations/rules. Then we united them into a theory of electromagnetism and realized they're governed by the same equations. Next we discovered the weak nuclear force which seemed totally different, only to later realize that the weak and electromagnetic forces are actually both part of the same (electroweak) force, and both are governed by the same fundamental equations.

It is suspected (and/or hoped) by physicists that this trend continues; that the other nuclear force can be united with the electroweak forces under a single theory; there are already hints that this is the case (see: Grand Unified Theories).

So far not much progress on getting gravity to fit in with the picture though :/