So, you can look at each vote as a separate event, or you can look at the second vote as a missed opportunity to show displeasure at Reid's move."
Are you saying that 12 Republicans voted for the Motion to Invoke Cloture on the bill S. 1619 after "Reid's maneuver" which changed the rules? This link appears to show the opposite order (click the vote numbers on the left side of chart)...
It shows vote #00156 on the Motion to Invoke Cloture on S. 1619 was Thursday at 10:32 AM (and 12 republicans voted for the cloture motion). The vote #00157 on "Reid's maneuver" was Thursday at 6:41 PM and no Republican voted with Reid, and Nelson D-Nebraska voted with the Republicans against Reid (this vote is described as "On the Decision of the Chair (Shall the Decision of the Chair Stand as the Judgment of the Senate)".
I believe that the video linked below is "Reid's maneuver" in which Reid makes a "point of order" concerning an amendment. Then the Chairman rules "The point of order is not sustained". Reid says "I appeal the ruling of the Chair and request the yeas and nays". Then Senator McConnell makes a comment.
All 48 Republicans vote to sustain the ruling of the Chairman, and 50 Democrats and 1 Independent vote Nay... the ruling of the Chairman is not sustained and thus the rule is changed. But at the end of the video, which is after the vote, Reid says "we'll discuss later how we're going to move forward on other things".
Video of Harry Reid's parliamentary maneuver to change the Senate rules
For future reference, if the votes of October 6 don’t appear, click “more” at the lower right corner of the chart...
http://www.senate.gov/pagelayout/legislative/a_three_sections_with_teasers/votes.htm
-PJ
Who was the “Independent” that voted with the rats?