All you have to do is transfer your BTC from Coinbase to another wallet and send from there.
Jeez how simple is that?
~BCX~
That's assuming they won't track that as well.
They're not tracking anything that doesn't leave a Coinbase wallet.
As mentioned above, try funding a terrorist organization or even funding an unregulated gambling site from your CC or bank account, see what happens.
Imagine that, authorities get a little touchy about funding illegal activities.
Privacy and the ability to commit crime anonymously are two separate things.
~BCX~