How could a rich existing power exert control over who and how someone uses bitcoin? There is no mechanism by which such control could be exerted.
The worst you can do is monitor traffic and try to correlate wallets and transactions to known identities and products similar to attacks on Tor, then use good old regular meat space violence. Privacy oriented coins like Monitor make this even harder, to literally impossible, too.
I suppose you could start mandating some central registry for wallets or some such and refuse to process any transactions not originating or destined to a registered wallet, but that would require a hard fork and people to willingly go with it.
Technically you don't even need miners, computers, or electricity to exchange cryptocurrency. You can just exchange scraps of paper with a key phrase printed on it that says "wallet contains X btc". The walled could have been emptied before the exchange and that would still require verification by looking at the chain, but otherwise it's perfectly doable, and literal bitcoins do exist.
Sounds familiar?