That's to be expected, because those who pay insurance and are healthy are now paying for many people who previously had less of a safety net. No free lunch and all.Not necessarily to be expected, part of the goal of access to healthcare for all is that people can get treatment sooner, before problems get so bad, and get healthier, sooner. Over time if that was effective, medical costs would trend down. America doesn't seem to do that, paying more for the same treatment than other countries, but high healthcare costs are not caused by workers paying them.
But let's say that is expected, healthy people are now paying more to cover the needy. It's a kind of forced charity, and there are good reasons for personally disliking being forced to cover others expenses, sure.
But then your answer to this is to quit your job, and live off your investments? "Making your money work for you" is a polite way of saying "live off the work of others". The dividends and investment growth in that lifestyle come directly from the work done by the still-employed. Your future dream life will send you in the direction of being a shareholder squeezing and extract maximum money from the still-employed, because your survival depends on their work. In a world where everyone saved for financial independence and the pool of workers was ever shrinking, your income would dry up, so the incentives will be upon you to stop the still-employed from doing do what you did - pulling up the ladder after you.
That is, while it won't be outright legislated in a single bill in plain terms like Obamacare was, you will be all-but mandating that other people work to keep you alive, or supporting systems and legislation which has that effect. The very thing you are complaining about, being forced to help others, in your opening paragraph, will still be a system you take part in and support. You're saying "if I am compelled to pay for others, that's evil Socialism" and "if others are working themselves ragged supporting me that's great, self-interest individualism at its best".
screw those who continue to work themselves ragged as they are now subsidizing many people, like my possible future self, [..] while we just exit the game itself.
You aren't exiting the game. You can never exit. The moral answer is to not be the leech you think is so deplorable, and keep working to keep yourself alive. When you can survive on your savings without growth beyond inflation, without dividends, and with spending the principle, then maybe retire. If everyone pitches in, with more people working, there won't need to be screwed over employees working themselves ragged. That ought to benefit society collectively, which will benefit you in roundabout ways.