There is a common narrative I have heard over the last 20 years that OBL intended for the US to be drawn into wars in the ME and to bankrupt them in a similar way to the Soviet Union was in Afghanistan, leaving room for the overthrow of ME despots and the installation of Salafist regimes.
However, the renowned OBL expert Peter Bergen has always had an alternative view, that OBL naively thought 9/11 would cause the US to withdraw from the ME, having looked at the example of Reagan withdrawing from Lebanon following the 1983 Beirut barracks bombings. Bergen says that OBL was surprised by the American invasion of Afghanistan and later tried to claim this was the result of some master plan.
The latter view seems more compelling to me, althoughI haven’t found any evidence to support either.
Does any exist?
While there is always more to say (hooray I got to say it!), here is a related answer I wrote that touches on bin Laden's "strategy." It's much more complicated than bin Laden orchestrating 9/11 for just one reason. There were regional politics, numerous ideologies, money, ungoverned spaces - bin Laden was operating on a messy landscape with conflicting goals. I do agree with Bergen that bin Laden did some "revisionist history" in his remarks after 9/11, but in my view (and by bin Laden's own writings), he wasn't so stupid as to think a single act of terrorism would lead to such an enormous geopolitical reorientation (ie, US leaving the ME). Hopefully there's some info in my previous comment that is helpful to you.