You can keep your plan if it's a legitimate insurance plan. Lots of shitty plans stopped being offered.
It isn't a tax, as in it's not a line-item on your tax bill. By your logic, Wal-Mart is a tax, because they get corporate subsidies for their welfare-requiring employees.
You can keep your doctor, if your insurance allows you to. Before the ACA there were those problems, too.
It does cost less, overall. The rate of healthcare cost increases is the lowest it's been in decades. It's not about you personally, it's the overall trend. Not to mention more people now qualify for insurance.
Overall? Most people have better coverage, and more people have coverage, period. If you lost coverage, it was only because you were profiting from the people who were paying for plans that didn't really offer any protection.
Oh, and don't forget that the Baby Boomers are aging, and are creating a huge load on the system... that's driving costs up for everyone. But I'm sure that's Obama's fault, too.