In America the financial situation is even worse in comparison to Europe. The problem: You would have to pay insurances mostly yourself and only get a 30% less salary in comparison to e.g. Germany.
Nevertheless, I can tell you out of my experience that 90% of the PhDs are so frustrated at the end of their limited contracts that they just swap over to industry. Research is not really what most people hope for. In most cases you anyway have to work on projects given by a cooperation partner/boss. Then you hope to get a Nature paper with what you obtained from the project lottery or start working on a small side project (and lose time because you have to follow the main project still).
If you are lucky enough to place a potential Nature paper, maybe your boss asks you to hold some results back for political reasons (someone else working longer in that lab shall publish his shit results maybe earlier and the impact of his paper shall not suffer because of an overlap, or there are contradictions because they faked data), or that someone else shall become the first author because he is higher, and everything was just a waste of time.
On the other hand it can be an amazing experience, because some Labs just work. Unfortunately, you sooner or later have to take another PostDoc and you may enter a Lab which is not like your first one. Also keep in mind, that you periodically change your environment and you are usually all alone in 3 year intervals. I know some scientists which lost also their relationships or divorced.
Welcome to bullshit science!
Addition: Don't start a PhD somewhere where you have to work 4-6 years. Try to find an opportunity for max 3 years.