[Senmut]

Some politicians just see things solely in terms of give-and-take, and what can be accomplished in the short term. They get tired. Adar and his clique failed to grasp that the Cylons do not get tired. As machines, they are still working to carry out their basic programming. Like your desktop 'puter; it will continue until it completes it's task, breaks down, or is blown to kingdom come.
As a seasoned warrior, Adama understood this. The Cylons, after a thousand yahrens of unremitting war, suddenly want to give the Colonies a kiss and a hug? No way. He sees right through it, as would Cain have, had he been there, but the career politicians can only see the short term. Yes, everyone in their right mind wants peace. I am sure Adama was looking forward to retirement. But the Cylons understood Human weakness, and were banking on it. All they needed was a little help. Thanks, Baltar.