This complicated thinking you put forward obviously was too difficult for our Supreme Court to grasp, or else they don't care about people like us. Anyone can holler "Police" as they go about their business, and of course who is likely to hear such hollering amidst the noise of someone breaking down your door anyway?
I must rant! These searches have no place in a society where a big percentage of home owners keep guns for protection. Police have always been able to forcibly enter dwellings under what they believe to be exigent circumstances. "Rescues" are one thing. But anything more puts the citizen in too much danger.
What has happened to the doctrine that it is better to let many guilty persons escape justice than it is to subject a single innocent person to the brutality of injustice?
But anyway, the ability to correct the situation, once it has already hopelessly deteriorated, would seem slim. It's probably only possible if the people making the entry are such fumble bums that they become distracted and you can regain the upper hand. This is a sorry hope to stake one's life on, but it is reality. Thanks, Supreme Court!
If you're really concerned about this, you might install a second, hardened door inside your home (call it an "arctic entrance"

), so that entry through it too has to be gained before "the police" can get to you. Ideally, that would give you a little more time to assess the situation, and time would definitely help. I have considered this in my own home, but the annoyance factor in everyday living is not inconsiderable.