I would say attempting to define a 350 year old global hegemony the likes of which the world has never before experienced in human history is a bit hard to pin down. It'd be much easier to ask this question about former empires and European/Asian states. Is China still China? Is England still England?
The closest thing we have for a comparison is Rome, but only to a certain point. What do I mean? Rome was a 'global' power of its time (if you take into account the modern known world at the time). Additionally, anyone could become a Roman citizen, there was no uniform Roman identity/gender. Can you move to China and become Chinese? Can you become a Japanese citizen and ever be anything more than a gajin? Of course not, but anyone can become American.
The other drastic difference, is that no country on Earth has ever been able to project power globally, to the extent at which the United States can. It cannot even be compared with the other large powers in the world, the UK, France, Russia, and China. That is because while they do have global reach through ICBMs, they do not have the ability to project conventional power on any meaningful scale, for any meaningful period of time. It's really a very interesting time to be alive, mostly because history tells us that all countries end at some point, all empires crumble.
America is not so much an empire as a global hegemony, making up the rules as it goes, and doing what is necessary to advance the interests of its citizens globally. Does Nigeria unilaterally send its military forces into Mexico to rescue a captive citizen? No, but America goes into Somalia and other far away countries at will. People always say that totalitarianism and dictatorships are an outdated antiquated ideology. I argue in the opposite, it's the idea of freedom and human rights which are new to the world, only emerging around the 1600s (and I might remind you they were still burning people at the stake for heresy in those days, so I say rights with some degree of caution).
Whats interesting is that I don't think states restrict rights out of some evil nefarious intent, but rather for simple self preservation. Even in the United States, our history has been plagued by justification after justification on why an inalienable right must be suspended, we create fancy verbiage like illegal combatant so that we waterboard and rectally feed you to our hearts content, absence any evidence or reasonable suspicion that a court would find meritorious. Look at Russia's brief experiment with what could best be described as a Democracy in name only, now having fully regressed into an autocratic police state once again. You must understand, leaders do not do this out of any purely evil intent, they do it because they believe with 100% of their being that their existence as a state is under threat, whether its from Islamic extremists or the encroachment of NATO into CIS countries that it formally promised to stay out of. States have interests to protect, be they in the 'near abroad,' or the abroad abroad. People have these vast conspiracies that the US foreign policy is a shadowy cabal of reptiles, but the truth is that these are just human beings, making some really poor decisions based on a lack of understanding of 'intent.' You cannot discern meaningful intelligence without a human source. Troop movements do not tell you intent, but being a fly on the wall in a meeting between Putin, Lavrov, and Dugin does.
Is America still America? I'd ask you to define it first, and then point to a time in history when it EVER adhered to all of the stated points contained in your definition.