Miko, as someone in the field of criminal justice, I have to completely disagree with your idea. One of the central tennants of the Constitution is being secure in your home and in our persons. You cannot have a system where the police are allowed to use illegally gained evidence. You will create fishing expeditions. The best way to prevent the police from overstepping their authority is to prevent them from using the very thing that led them to overstep. Before a person is deprived of their liberty, even for as short as time as an investigation, there must be enough evidence to warrant it.
If the police come into my house even though I've done nothing wrong, that is not an inconveinence, that is a violation of my rights as an American. More than you could, I understand the frustration that sometimes accompanies working within the system as it stands. However, in a million years I would not want yours.