I was on a murder trial myself a few years ago (as a juror) and within a couple of hours of reviewing the evidence, we took a poll and only one of the jurors did not vote guilty the first time around. It took us a couple more days to pound away at the evidence before that last juror finally came around. But no way were we just walking out of there without a fight to set a killer free just because we didn't have unanimous agreement at the get-go. If we had to fight for the guilty verdict for weeks or deadlock, that's what we would have done.
I think your analysis is absolutely right.
Guess after OJ, I should have learned my lesson. Common sense and reality do not necessarily go hand-in-hand in the halls of justice.