https://www.odni.gov/files/documents/ubl/english/Letter%20to...
The document is from some time after 2009, as it makes references to Obama delaying the withdrawal of troops from Afghanistan. I failed to find any passage where he references previous statements he made in the past. From these observations, I am guessing that the prediction you are talking about is of some overreaction that takes place some time after 2009.
However, I am failing to find this prediction of overreaction you are referring to in the document. I’m assuming that’s a failure on my part to read between the lines in bin Laden’s writing, and I’m hoping you could clarify that.
Mind you, the "one side" isn't a particular political party, it's both, depending on the context that lead up to the discussion.