Make no mistake about it, this is a win for the police power and weakens the protections of the 4th Amendment. The fourth Amendment right to be free from unreasonable searches and seizures lives on but not for people who have outstanding warrants. In many situations this may include people with unpaid parking or speeding tickets.
See the below excerpt from the Supreme Court’s ruling.
Held: The evidence Officer Fackrell seized incident to Strieff’s arrest is admissible based on an application of the attenuation factors from Brown v. Illinois, 422 U. S. 590. In this case, there was no flagrant police misconduct. Therefore, Officer Fackrell’s discovery of a valid, pre-existing, and untainted arrest warrant attenuated the connection between the unconstitutional investigatory stop and the evidence seized incident to a lawful arrest. We hold that the evidence Officer Fackrell seized as part of his search incident to arrest is admissible because his discovery of the arrest warrant attenuated the connection between the unlawful stop and the evidence seized from Strieff incident to arrest.” (cited from slip opinion http://www.supremecourt.gov/opinions/15pdf/14-1373_83i7.pdf) Utah v Strieff, 579 U. S. ____ (2016); reversing 2015 UT 2, 357 P. 3d 532.
A link to the New York Time’s article on the Supreme Court’s opinion: http://www.nytimes.com/2016/06/21/us/supreme-court-says-police-may-use-evidence-found-after-illegal-stops.html