That's Boris Shor's reading:
[B]ased upon his voting record in the Massachusetts State Senate as well the Votesmart surveys of MA state legislators (include his own from 2002), I estimate that Brown is to the left of the previously leftmost Republican in the Senate, Olympia Snowe of Maine (see her issue positions here) and to the right of the rightmost Democrat in the Senate, Ben Nelson of Nebraska (issue positions here). Just as important, Brown stands to become the pivotal member of the Senate—that is, the 60th least liberal (equivalently, the 40th most conservative)–a distinction previously held by Nelson.
Nyhan is skeptical:
I think Brown moved right to motivate the GOP base in a low-turnout special election, so I'm skeptical he'll pursue such a moderate course (at least right away). But if Shor is correct and Brown is between Nelson and Snowe, it reduces the rightward shift in the filibuster pivot, meaning that Brown's win would have an even smaller effect than we might have otherwise thought.
Memo to Obama: co-opt Brown. When the GOP balks, and Brown is cowed into the Rovian box, show the country what they are really about.