I think maybe the "gravity dominates" argument stems from the observation that most "normal" phenomena are gravitational. The building of galaxies, clusters, stars themselves, etc. Phenomena like radio lobes of galaxies are still considered rare in the universe.
It is no doubt a false dichotomy, this belief that one force dominates another. While discussing vast distances and large objects, if we go the other way, right here on the surface of the planet, EM dominates almost everything we experience, except for being stuck to the planet.
But more importantly, gravity, being the weakest of the forces, is so important to the history of the universe that we just stand around in awe at it.
That was funny. It made me realize that it is a damn good thing gravity is so weak, or the Universe would be far different than it is now. The weakness of gravity means we can live on a huge planet like ours, without much fuss.
It also led to pondering another issue. It has been said that gravity can't be blocked, or neutralized, unlike EM (talking specifically about charge only).
Large bodies tend to be mostly neutral (discounting the currents flowing in the core that produce the magnetic field, as well as the vast and powerful Van Allen belts, which are far from neutral).
But considering gravity, regarding local effects, like here on earth, the earth's gravity neutralizes the gravity of the sun, as well as the moon, and every other gravity source in the Universe. While gravity may be vast, acting at huge distances, to us, stuck firmly to a globe spinning at a thousand miles an hour (equator), or even spinning very slowly (poles), none of that gravity really matters to us. We can't even detect it, unless you count the tides, which are more of a giant wave, rather than water being pulled towards the source.
An accelerometer won't even show the effect of the moon, which is by far the most powerful local effect, from gravity.
Yes yes, we fall around the sun due to gravity, but none of that motion is measurable from our viewpoint, deep in the gravity well of our planet. In reagrds to gravity, the earth's gravity is neutralizing all the other sources in the Universe, due to our proximity.
Interesting. Neutralize is probably not the correct word, I know that. But from a practical viewpoint, nothing else matters much, in terms of gravity, here on the planet.
Aside from the moon and sun, nothing else is even close to being an issue to us, as far as gravity goes.
In a practical sense.