Alright, well here's my dumbed down version of the conflict against al Qaeda and the US. If you look to what entities such as the AQAP posts for why they fight against western powers, they frequently cite 'imperialism' and various evils associated with the West's relation to both their religion and their peoples in the Middle east.
The West, on the other hand, seeks their destruction for terrorist attacks, regressive societal goals, etc.
To live in peace would mean at least one side would have to abandon their goals. My question is, how are you going to take away people's motivations to fight against the other side in such conflicts? The West won't capitulate and agree to live in an Islamic society replete with Sharia law, people forbidden to speak out against religious leaders, etc. Likewise, al Qaeda doesn't seem receptive to becoming more tolerant of the West's increasing influence on their culture through mediums such as the Internet, broadcast television, etc.
Saying that we should all live in peace is an easy statement to make. Claiming to have an answer of how to get there is much harder. So...any ideas?
"I'm going to get into your sister. I'm going to get my hands on your daughter."