Well, suit yourself. I have been here since 2010 and done quite well with bitcoin. Bitcoin is fair money, not magical money. I know for a fact that EVERY bitcoin Tx in the US is now monitored. One day soon you and others are going to find out the hard way. You risk going from financial freedom to prisoner status. Failure to pay the measly 0-15% tax that you owe can result in a bill for the tax + the interest + penalties + jail time. An exchange that is not doing AML/KYC may have all their your bitcoin seized.
If you don't like paying taxes, join the club. But you are delusional to think it's a good idea to try hiding your coin using unregulated exchanges. That is sooo 2013.
1- Nobody can monitor every bitcoin transaction there is. It is impossible. There are many online exchanges where you can use them as mixers. Nobody will be able to track you down.
No, but they can try pretty damn hard and succeed a lot of the time. It's hard to underestimate how much power the US government and security services have with these things.
2- You can convert your bitcoins into monero in the decentralized exchanges. If you feel insecure with the first way and the amount is too big to use the exchanges, you can completely wash your coins with this way.
True. You could even convert to Monero through Shapeshift using mixed coins, and use a variety of other systems. If you really know what you're doing, anonymous transactions are basically possible. Anyway, we're going a bit off track here.
For the OP, tl;dr: yes, Coinbase is safe, but they have a bad record for suspending accounts and their coins if they find
any kind of suspicious activity (and they're good at finding it). Don't do anything shady from there and move out to a personal wallet when possible.
Their customer service is also shit, so if you have a problem you need to ask here or find another way to sort it out. Plus, decentralisation blah blah blah ethics etc.