Here is an older blog post by Kevin DeYoung, but still well worth reading. It nicely summarizes the strengths and weaknesses of two major Reformed approaches to culture. Baptists incline toward the two-kingdom theory, but occasionally a bit of Neo-Kuyperianism shows up.
It should be noted that two-kingdom theorists don’t necessarily take culture any less seriously than Neo-Kuyperians; indeed, they sometimes take it more seriously.
If you haven’t thought about the difference before, DeYoung’s short post will give you a nice introduction.