Indeed, there are major differences in how the OPC and PCA view the relationship between Christ, the church, and culture. One good resource on the OPC’s viewpoint is Charlie Dennison’s History for a Pilgrim People. Another good resource that covers the same territory is Fighting the Good Fight by John Muether and D. G. Hart. On the PCA side of things, check out For a Continuing Church by Sean Michael Lucas.

The question about Bavinck and Vos is a bit difficult to answer because Dutch neo-Calvinism is not monolithic. Both theologians would rightly be classified as Dutch neo-Calvinists, but which particular subset of that movement is more difficult to state. Bill Dennison wants to distinguish Bavinck’s view–which he believes is in keeping with a horizontal eschatology–and Vos’s view, which he refers to as a vertical eschatology. The former sees the redemption of culture as a gradual process; the latter, sees it as a sudden transformation that occurs as the second coming of Christ. That’s surely an oversimplification of their views, but they appear to me to be basically correct–though I’m not authority on Bavinck or Vos.

https://www.ccel.org/creeds/helvetic.htm

Not sure where to go from there.