I think that this is far from it. But I see that Bitcoin is already a very effective tool for influencing
This is definitely far from reality. Why would a government end up centralizing bitcoin? Knowing bitcoin is decentralized, so it can never be fully controlled by the government or any group or entity. But once its centralized, the government will all have the access on it. But take an example from China, they have created digital yuan which is definitely centralized in the first place, so they started banning bitcoin so that its citizens will stop using it and focus on their own digital currency. Maybe that will also be the case of other countries' government and they would not waste time on adopting bitcoin anymore.
A reason why many would like to keep Bitcoin over fiat is that because the government has no control. But, it was to see that they are taking steps to get through it and possibly will control cryptocurrency someday. And if this going to happen, we don't know what will happen next but I think that these crypto investors and users will still invest in them. I don't think that they will stop this stuff but rather continue it under their control coz what they want is these users and holders will pay tax.