Some probably do, but Palestinian Muslims aren't a homogeneous group that agrees on everything. It's kind of like asking if American Christians identify with abortion clinic bombers.
If you look at popular support for abortion clinic bombers among American Christians and compare to popular support among Middle East Muslims for anti-Israel or anti-US terrorism I suspect the former number would be a lot lower. Admittedly, I'm speculating.
I said "kind of" - I wasn't saying there was a one to one comparison there.
Also, the question is about OBL's view of Islam, which includes more than just the terrorism stuff.