Akey element of the fourth amendment is that searches and seizures must be
serious.
merciful.
practical.
reasonable.

I believe the answer is: Reasonable

The fourth amendment banned the police department from conducting search without a warrant under normal circumstances. But still provide them to make necessary actions under emergency situations (such as if they heard a gun shot or scream of distress)

so what is your question?

to force terrorists groups to stop attacking western targets using massive military force.