The Westminster Confession of Faith is a thoroughly written out set of beliefs and doctrinal positions. It is not scripture but what people believe the scriptures say and teach. Saying "I believe the Bible is the Word of God" is one thing. Saying "I hold to the Westminster Confession of Faith" tells someone what you specifically believe the Bible says and teaches and therefore says a whole lot more about you than just slamming your King James Bible down on the desk and saying "I believe this book!" Other Confessions include the Belgic Confession, the Book of Concord, and the London Baptist Confessions of 1644 and 1689. Southern Baptists typically refer to either the current Baptist Faith and Message of 2000 or the older BFM published in 1963.
Being a "Suthren Babtist" myself, the BFM 2000 is the main document of which I am concerned. It is somewhat broad in certain respects to accommodate differing beliefs in soteriology (Election vs. Free Will, Etc.), eschatology (Pre, Post, A-Millennial, Rapture, Dispensationalism, Etc.), and ecclesiology (differences in church government - Elder led, congregational rule, roles of deacons, Etc.). Most positions in the SBC organization require one to hold to the tenants of either the BFM 2000 or 1963. The BFM 2000 has more specific standards and guidelines regarding the role of women in leadership positions. A Church may refer to the BFM as their "Statement of Faith" but they often condense some things down and articulate more specifically where they stand regarding (for example) a "Pre-Tribulation Rapture," their position on election, and so forth.
I have never been on a "Pulpit Committee" myself but my understanding is that it is generally comprised of the deacons, elders, trustees, Etc., and likely a few regular joe "Pew Pounders" as well. I believe it goes without saying that you want men and women on this committee who are highly knowledgeable in the scriptures and matters of theology and practice. There may be some who give greater attention to matters of personal character whereas others are looking into matters of doctrine and philosophy of ministry. For me, I would be quite thorough with a pastoral candidate regarding the Baptist Faith and Message and for him to be very candid with myself and the rest of the committee regarding anything to which he may take exception. I don't expect one to agree with EVERYTHING in the BFM. There may be a matter or two which I would be in disagreement but any such disagreement must be well thought out, biblically solid, and a position acceptable to the committee. The best candidate should not only have moral integrity, good doctrine, and competency to lead and teach, he should also be a GOOD FIT for the congregation which may be somewhat difficult to quantify.
My personal opinion on the matter is that a pastor need not agree 100% with me regarding their views on the doctrines of grace (Election, Predestination, Etc.) but I do not want them to be overly antagonistic to the point of "Evangelizing" the Church to one side or the other. I therefore do not want someone like James White, Jeff Durbin, or anyone else who would likely make the "Doctrines of Grace" central to their teaching and preaching. I also would not want a rabid anti-Calvinist like Leighton Flowers who distorts and misrepresents the Calvinist view and therefore would also make the "Doctrines of Grace" central to their teaching and preaching! I would much rather have full liberty to expound upon Ephesians 2 and Romans 9-11 and simply state that there are matters in which good men have agreed to disagree upon throughout Church history!