I don't accept liberal theology.
Same here.
There is no connection between being a political moderate and being a theological liberal.
Very true. Of course on the conservative side of things (that is, those who want to "conserve" the old ways and traditions they grew up with), then there is often a connection between being theologically conservative (uncritically accepting the religious interpretations and practices of one's upbringing or influential pastor) and being politically conservative (trying to preserve the social interpretations and practices of one's upbringing or influential political leader).
I do not intend to imply that theological and political conservatives are uniformly intellectually lazy or unable to see beyond their own upbringing, but there is a significant "conservative" minority that is this way. A significant number of theological and political conservatives I know have carefully considered their positions and are quite skilled at communicating their insights.
As for me, I consider myself politically moderate and theologically conservative/moderate:
Politically, I'm old-school Republican along the lines of George H. W. Bush and Eisenhower.
Theologically, I'm something of an temperate iconoclast. I fully believe the Bible is infallible and reliable, yet also acknowledge the role of the Holy Spirit at work today in the world, in individual personalities, in churches, in institutions, and in the greater world that does not yet acknowledge God. I am a very conservative interpreter of scripture in that I hold to a historical-critical method and am not too concerned about theories of higher criticism, etc. I believe that God has and is working "supernaturally" (at least, in our modern way of looking at things) in the world so biblical miracles are credible and present-day miracles are certainly possible. (I was told just this last Sunday by some missionary friends that some formerly Muslim believers in Chad are experiencing miracles as they spread the gospel among their Muslim neighbors. The people of Chad are mostly illiterate and have few resources for survival, much less theological training. They have been repeating the Bible stories the missionaries have prepared for their oral culture and have been sharing their faith with the use of those stories and living demonstrations of the Holy Spirit transforming their lives and doing works of power (especially healing) through them.
I embrace the traditions of the past, but I'm not bound to them if they interfere with the work of God today.