Oldguy, you're viewing this as a black and white issue. I'm not going to do the research for you, but here are a few factors that may make it a little more complicated (because it's, you know, real life).
1. Groups like Hamas, Hezbollah and the Brotherhood have military wings that do what we would call terrorism. Those groups also are community organizers (I knew Obama was involved somehow! jk). Like Denny said, people are hungry and they offer food. The Brotherhood control large parts of Egypt, but not through strong arm tactics but because they are a sort of a local government to the poor, conservative and religious areas in upper Egypt. Hezbollah run entire neighborhoods in Lebanon that don't get along with the poly-religious government in Beirut. Hamas is more complicated because it's central to the Israel-Palestinian conflict, and good luck talking sense to either side of that kerfuffle. Either way, these organizations look much more like government than Al-Qaeda. There are large differences. Because people support Hamas or Hezbollah doesn't mean they're supporting terrorism, especially not from their point of view.
2. Public opinion polling in the Middle East and North Africa (I won't mention Indonesia or Bangladesh because I know nothing about them) is super duper problematic. What constitutes an opinion is complex shit; boiling it down via the answer to predetermined questions is problematic enough. But people in the Middle East and North Africa have some markedly different ways of coming to conclusions that we in the West do. So, I would argue that polling is inherently flawed when applied to the Middle Eastern mindset. For example, in my experience, people are likely to give you a snap answer to a question, but then when you sit down for some coffee, talk it out for a while, they will end up actually saying the opposite (which you never ever point out so they can save face). Maybe someone will say they hate America, but if you talk to them about it, they will clarify that they hate American policies (understandable) and not their values or population. In fact, the majority I talked to wanted to go to America because of, you know, freedom.
3. Another thing is education. People may not know what Al-Qaeda actually is. People may not know who Osama bin Laden really was. I came across so many variations. A lot of people think it was all made up by the worldwide Jew controlled media. A lot of people think that they're real and Osama is awesome because he rallies against Western imperialism, but terrorism is wrong. Many people think he was real but don't even think he was responsible for 9/11.
Many of us in the West take our knowledge base as granted for the rest of the world. In a region where many people still can't read or write, it's crazy to think that our public opinion polls have the same amount of reliability then they do here.