Why didn't the U.S. kill Saddam Hussein?

In the attacks to destroy Saddam Hussein, the U.S. military struck many building, reducing them to rubble. The "bunker busters" that were used to detroy even thick concrete basement where Saddam could have been hiding crushed possibly dozens of building. Then, when the military found Saddam hiding in an... show more In the attacks to destroy Saddam Hussein, the U.S. military struck many building, reducing them to rubble. The "bunker busters" that were used to detroy even thick concrete basement where Saddam could have been hiding crushed possibly dozens of building. Then, when the military found Saddam hiding in an underground shelter, they "arrested" him, cleaned him up and threw him in the Iraqi (the country he rules) court system. Why go through all the military action to kill him, only to turn around and put him in jail, from where he can order his followers to do what they are doing?
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