I like shua just fine and even wrote him in during the last election. But no, the median score does not in any way represent a deciding vote. This is coming from someone with two terms in the Senate and a clear understanding of how the body works. That you even think a political matrix that is barely useful for scoring American politics can translate to Atlasia in such a way is unnerving. The left wing Senators are mostly moderate, like Scott, Sbane, ilikeverin, and Nathan. The right wing senators are all fairly extreme unless you consider Andrew right wing, which I and he would object to.
Having had personal experience with both Scott and Sbane in the Northeast Assembly, I cannot recall them ever once supporting a single piece of "right" legislation
The Liberal Party's platform which I wrote is quite moderate, and my economic PM score is practically centrist compared to others. Honestly, you just don't know what you're talking about.