As soon as US lose that influence, no one will care what US want.
A law can only be enforced when the people chose to allow it to enforced.
Anyone can decide to not follow the law, and nothing can stop them from the choice to not follow a law.
What can be done is punishment for not following the law, after the fact. Punishment is only repercussion, and cannot stop someone from committing the crime before they do it.
That said, you can now be thrown into prison indefinitely for being a "suspected" terrorist. Still, that's really just the government breaking the law. The government, in this case, is just choosing to not be enforced by these laws.
I would also be surprised if many/any people would actually be opposed to this if it could be proven that people detained were people who were actually planning and hoping to carry out an act of terrorism
That is indeed the appeal to emotions card that is played. The problem is the suspected terrorist is detained on "proof" at the military/government side, but is only given a lawyer *after* the detainment on "strong suspicion," and the process of a lawyer acquisition is not quick.
There is the ideal, then there is the real. The real is people are detained first, and then given a lawyer months later, years later, or, in some cases, they just happen to die in prison.
Also, to speak to your "proof," most of the "terrorists" in, and who were in, Guantanamo Bay didn't wind up there by capture and proof from USA forces. They got there from middle eastern fighters. Why did these militant groups help us? Oh right, the massive bounties on any captured terrorists that were offered.
Human rights are quickly tossed out the window when we mix military with government. Indefinite imprisonment based on a suspicion is just plain evil. The word "Terrorism" has an incredibly wide meaning, and can apply to a very large range of acts including much of what the USA does. "Conspiracy to commit terrorism" can encompass quite a bit.
Heck, my posts here suggesting people can just simply choose to defy all laws could be construed as me conspiring with you all to be terrorists in the sense that we just don't obey any law of the USA.
Wasn't the Guantanamo Bay detention centre used to circumvent this?