No. Without the exclusionary rule, there would be no feasible way to force police to obey the 4th or 5th Amendments. These protections are always important and are perhaps even more important in serious crimes where defendants face severe punishment if convicted.
If there were no exclusionary rule, what incentive would police have to obey the 4th and 5th Amendments? Conceivably, people who believed their rights had been violated could sue, but the chances of criminals winning civil suits against the police would be slim. Without the exclusionary rule, there would essentially be no 4th or 5th Amendments and the police would have free rein to search anyone, anywhere without serious fear of repercussions.