Might it have something in common?

If by "common" you mean that both are losing their relevance, perceived or real, on the world stage, then I'd probably agree with you. The similarities don't go all that far, however, because the U.S. is still, in my opinion at least, a superpower. It's the world's largest economy in terms of nominal GDP, and loses only to China when compared to other countries by GDP based on PPP ($17.63 trillion vs $17.41 trillion), while still beating China by a huge margin in GDP per capita ($54,678 in the US versus $12,893 in China). It also has the world's most powerful military, something to do with the $577 billion it spends on it each year, I reckon. Point is, I'm not really sure if we can say that the U.S. is not a superpower in this day and age.

Now, I largely agree with the article by Mark Manson you linked. Personally, I tend to dislike the United States, and I wouldn't want to move there (I happened to rather like the frozen wasteland that is Canada where I reside at the moment). However, as much as I dislike the U.S., I dislike Russia way, way more. Some people say that the States cause a lot more instability in the world than the Russian Federation does, but the thing is, the reason RF is behind the US in this regard is definitely not for the lack of trying. Rather, it just doesn't have the resources anymore, not having a strong enough economy which is dependant on something other than crude oil exports.

I used to think that if I had enough money, I'd leave right away

Moving is a tough process, in some regards. It doesn't help if you have a family. There are always options for those who seek emigration, however. It helps if you have work contacts outside of the country, a dual citizenship (how are things with that, by the way? does Russia still support dual citizenship?), or simply a particular set of skills that can easily get you a job anywhere in the world. From your post, I gather that you study in TUSUR, which is quite a marketable position.