The fundamental argument between conservatives and liberals is to what degree the federal government should weild power over the states. Liberals tend to be for "big government" - sweeping, national legislative reform to which all states are required to adhere as enforced by a monitoring agency (think: the Clean Power Act and the EPA or Housing Act of 1964 and HUD); while conservatives want to limit the power of the federal government and allow each state (read: the corporations that control state politics thru campaign contributions) to decide for themselves. Fiscal conservatives are rich mofos who want to tax income instead of assets (they couldn't give a fudge about religious ideals unless they can be manipulated to support business interests) and want to end New Deal era reforms. Social conservatives basically promote fundamentalist religious values.
All that's to say, neither. As far as the R&F is concerned, hypothetical political leanings are as diverse as those of the entire nation. Income, gender, race, ethnicity, location, education - all of these factor into political choices. It'd differ from region to region, city to city, congregation to congregation. They'd most likely mirror the statistics of the territory the congregation covers
The GB is most definitely conservative though.