Monero is more anonymous than bitcoin, which is only pseudo-anonymous, that is a fact. But do you seriously need more anonymous coin?
It won't be ever pushed to the level of acceptance bitcoin received, not when we are still obliged to follow legal rules and subjugate ourselves to AML/KYC law.
I'm always baffled when I read that. If you want to abide by AML/KYC, why not use fiat ?
My idea is that bitcoin's original design was meant to keep coins private. If you read Satoshi's paper, he goes through some length about that. Unfortunately, pseudonymity has turned out to be a very weak protection of privacy because of the information that propagates from one transaction to another. So my idea is that monero is a technical improvement over bitcoin who failed to deliver technically on one of the design goals.