I suppose so, but it's currently within the law to do so. In fact, the police don't always have to identify themselves as the police in certain exigent circumstances (!). It's also a common myth that universally the police must identify themselves personally and give a badge number. That's up to department policy.
I support reform in these cases, at the least requiring officers to wear patches that uniquely identifies them ("X25" or something) for later use in court. That said, what we are seeing is within the bounds of the law today.
>It's exactly the same thing
No, it really isn't. Men in civilian clothing or blank fatigues blowing things up with zero identification is indeed distinguishable from men in uniform with American flag and POLICE patches.