The part of “Chris” in this post is being played by someone else. The opinions expressed in this post are not Chris’s, particularly if you are looking to hire a methodologist… in which case, Chris’s vita is linked over there to the right, so read it and skip the rest of this post, which will be of zero interest to you.
For the individual in the San Francisco Bay area from a Comcast IP who did a Google search on “Political Methodology ph.d placement rate”: abysmal, if you generalize from an n of one—but pretty good if you consider a visiting position and spending another year desperately avoiding a tenure-track job with a 4–4 load or worse “placement.” Suffice it to say anyone actively looking for a real methodologist who can publish and teach Ph.D. students (as opposed to an Americanist they can also dump undergrad methods on) isn’t going to be happy with me—never mind that that’s what I’ve been trained to do.
On the bright side, your chances are probably much better if you manage to attend a top 25 Ph.D. program. So polish up those GRE scores!