I believe the problem there is that you can't define what "clear evidence" is, until the trial, when it's already been collected.
This gives policemen some really bad incentives to follow through on. Currently, the penalty for obtaining evidence illegally(or suppressing exculpatory evidence) is a slap on the wrist, so LEOs would have an incentive to collect as much evidence as possible, ignoring due process violations, because there's always a chance that evidence is ruled "clear evidence" at trial.
You would have to institute severe penalties for police officers, and then you are likely to end up with a law that has little effect in practice, except for corruption - LEOs will shy away from using it, except in cases where they know they can get away with it(bought prosecutor/judge, friendly jury, etc), or, admittedly, in cases where they really believe they're catching The Bad Guy(tm). The problem with this kind of law is that it has little effect for the majority of people(except for the headline that we caught one more Bad Guy(tm) per year using it), but it usually ends up as a tool to oppress minorities or those with deviant political and social views, as those are the ones a jury is most likely to be biased against.
Consider also that most criminal cases actually end with a plea bargain pre-trial. There is no jury to argue in front of in most of them, so all you'd have in front of you is evidence that the prosecutor is claiming to be "clear evidence"(still unproven), and your overworked PD telling you that the likelihood of the prosecutor not getting a conviction is in the single digits. You would have to allow judges to rule on whether something is "possibly clear evidence", but judges naturally favor the prosecution(most judges are ex-prosecutors, and they are usually on friendly terms with prosecution/police officers).
Due process is already trampled daily, without this "clear evidence" law that you propose. Police officers fabricate justifications for stops and searches out of thin air, prosecutors violate Brady by hiding exculpatory evidence(so much so that Chief Judge Kozinski highlighted it in a dissent - http://www.abajournal.com/news/article/epidemic_of_brady_vio...), trials take a stupidly long amount of time, PDs are exhausted, overworked and underpaid, etc. Your theoretical addition to it won't really make a significant impact - there's a million other ways for prosecutors to get a conviction, this will just be one extra tool in the toolbox. It won't be making the situation much worse, but it'd still be worse.