Presbyterian churches, in terms of "liberal" or "conservative" run the gamit in the US.
"Presbyterian" comes from the greek word "presbuteros," or elder.
Overall, we are "presbyterian" because of our elective style of church government. That is true, no matter which branch of Presbyterianism to which you belong. Officers are elected at the church, district, and national levels. Statements of Belief are periodically revised and also voted upon.
I belong to the largest presby denom, The Presbyteran Church USA (
http://www.pcusa.org) with about 2 million members nation-wide. The head of PCUSA is called the Moderator of the General Assembly, the national governing body which meets biannually.
PCUSA, like the Methodists, Episcopal, and non-SBC Baptists, is considered a mainline denomination. Neither liberal nor conservative. We recognize two scraments: baptism and communion.
If you are interested in the PResby church, you will have to visit a few. You will find traditional theology and more challenging theology and beliefs in individual churches. While my church is more typically traditional in its doctrinal outlook, another church about six miles away looks a lot like a UU church. I might eventually wind up there, but that's another story.
My particular church has tried to become more ecumenical over the years. We have communion (Eucharist) once a month, We have a processional and recessional. So, while it isn't "high church," it's not quite as plain as it used to be.
The Presby church has always championed social justice issues along with its missionary work. Along with the National Council of Churches we condemned the Iraq invasion and recently got into a dust up with the Israeli government over their treatement of the Palestinians. The discussion about Chan Chandler in Waynesville produced a lound volley of laughter in Sunday School last week. We are studying "The Battle for God" class.
Most presbys are very cool and welcoming. With the odd exception (could just be my area) I've foumd most to be moderate and level-headed.
The best model of a Presbyterian ever? The late, great Rev Fred Rogers. :-)