Government vs supers is pretty common. The USFG is often a secondary antagonist. It's not as overt in DC as it is in Marvel, but you have moments where the heroes go up against the three letter agencies, Checkmate, the Suicide Squad, etc.
In my setting, most places on Earth heavily legislate superhumans. It's America, Japan, and a handful of other countries where superhumans are fully free. In the multinational Earth State, superhumans must get spinal implants that regulate their powers. If you want to use your powers, you must earn them by working where the government tells you to, how the government tells you to, and when the government tells you.
Superhumans with a high enough social credit score not only have their powers unlocked, but are granted more powers through cybernetics.>>86261212
1 source of superpowers called the hyperkeimenon and several ways to get powered by that source.>>86262466
There's a race in mine known for bad hearing because they lived in a solar system with a medium and their sun was constantly making noise. They evolved not to hear anything because nothing could be heard over the sun's roaring.>>86264519>The government's win con
The problem is, you will get a lot of superhumans willing to play ball for kickbacks.
It's the carrot working in tandem with the cane that will get superhumans in line.
Part of the irony of Earth State is that it constantly harps on being a place where superhumans don't have an edge on normals, where superpowers must be earned, but in practice superhumans control their government as the martial and industrial muscle. And because they're very fond of their positions, they change the law to make it harder and harder for superhumans to earn social credit to avoid competition.
The old superhumans have pulled the ladder up behind them, and its causing considerable friction in Earth State.