It is difficult, perhaps impossible, to come up with a philosophically sound logically consistant explanation for natural phenomenon which isn't unified and connected at a fundamental level. Two incompatible sets of natural explanations are vastly less likely than one unless we're falling back on superstition again.
Hence on some level there will be a unified way of approaching and talking about physical phenomena. Now, is that underlying consistent theory achievable? Well that's a different question. If the unified explanation for all natural things, at its heart, relies on physics we just don't have access to - either it's too small scale for us to ever probe, or too large scale, or no longer manifested at this point in the universe's life (there are examples of this I could describe but that'd make this post too long) - then of course we would not ever get to a satisfactory scientific account which is unified.
But efforts to get there tend to reveal other interesting things so are worthwhile even if we never achieve the final goal.
Plus because it's so specialized and inaccessible to the layman, the degree to which there's already tremendous consistency and unification in our theories of the underlying nature of things is dramatically underappreciated by most people.