Predictions: much of the Muslim world will be glad he's gone. There will be some grumbling about the burial at sea and whether that was acceptable in Muslim practice or not. There has already been some of that, but other Muslim leaders have publicly said that it's acceptable provided there was the ritual cleansing (which there was), so that should blow over fairly soon.
The U.S. will now press harder on the Pakistanis to turn over the second in command, al Zahwari, and other known A.Q. leaders. We give Pakistan about $3 billion in aid every year; it's likely there will be discussions about some of that aid being contingent on greater proof of their cooperation.