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.
To be fair, there is a difference between the reasons people do support bombing Abortion Clinics (moral indignation) and the reason for supporting terrorism ('OMG, they killed my family and bombed my house'). The two things aren't really comparable.
How many Muslims have had their houses bombed by the Americans? Compare that share to the share voicing support for bin Laden in opinion polls. Especially in countries like Jordan, Syria or Saudi Arabia and other such countries who have never been to war with the US.
But I agree the two aren't really comparable - that was my point. 
Anyway, polls I've seen indicated that around half the population in several Arab countries supported bin Laden back in the early 2000s. Now it's lower but still a sizeable minority. I doubt support for terrorism for Christianity is at similar levels in the US.
Muslims have much more solidarity than Westerns generally are. One of the reasons there are terrorists from so many countries.
Poll
