The 2nd.
Edit: >definitively your government giving you the rights
Because we've gotten lazy and allowed it. Most of our legislative buildings have public balconies above the floors where laws are made. The architecture is sort of a reminder/implicit threat. Or it was, once upon a time. "We're watching you. Don't make any laws that are draconian".
Who have the power to do that? Does individual state have army?
Imagine telling a bunch of 20 year olds in the national guard they're going to kill some dangerous domestic terrorists. Imagine What happens if they don't think those people are really dangerous.
Short answer: no. The federal government (Congress) can propose amendments, but ratification requires the approval of a 2/3 majority of the 50 states' legislatures (38/50).
And remember that in the US, the governments of each state are not just sub-divisions of the federal government, but totally distinct entities with their own constitutions, legislatures, elections, etc. The federal government has no direct control over the states, and thus can not force them to approve an amendment.
So, to change the US Constitution, 39 separate governments need to agree, and that's a pretty high bar.
In practice, you simply need the minimum majority of the supreme court to agree with an 'interpretation' of the constitution that gives you what you want.
But assuming the rule of law still exists, there is no way the Supreme Court would be able to "interpret" the Constitution to allow amendments in another way. The Constitution is very explicit about the amendment process, and it has been performed by that process 27 times to date. No way to "interpret" your way out of that.
(OK, yes, I know constitutional conventions are another route. But that has never been tried.)