Well, you're definitely right on that. I'm not an expert on the theories of the atonement but I am glad you adhere to penal substitutionary atonement. But that makes me even more puzzled by your statement:
So is there a school of thought that teaches what you are saying? You list yourself as a Baptist, and I know that is a big tent but is there some church or organization that teaches this?
As a lifelong Southern Baptist, I don’t think I’ve met any two Pastors or laypersons who have the same doctrine, including me being in Associate Pastoral Ministries for 12 years (1984-1995) before diverting to para-church ministry.
In the ensuing 27+ years since my exit from church staff positions, I’ve taken it upon myself to correct my own theological illiteracy by many means. This includes intensive study and examination of the biblical languages and extensive reading of the Patristics, etc.
I’d say the Lutheran confessional positions (or at least Martin Luther’s writings and commentary, et al) are as close to one homogenous source as I can claim. I most often begin with the Crux Theologorum mentality of paradox, much like how the East has their apophatic or negative doctrine. Where there is God, there is paradox to/for man.
No one can have their sinS atoned without their sin being atoned. My perception is that this point is why there are so many atonement models. All are focused on sinS rather than sin. Christ was made (poieo) sin. But the primary need of man is resurrection from spiritual death (not to make this a dichotomy, but to point out that sinS are what everyone is fixated upon).
Modernism (among many dozens of other -isms and -ologies) has had a hyper-individualization effect on the general soteriological message of the church at large. Some of the fallout of all of that is the sad fact that Baptist churches in their automony have become arbiters of most any doctrine one wants to claim on the Christian continuum. They run the gamut. (Eschatology also taints the doctrine of many, because it becomes their hermeneutical lens for everything they read in the text. Here I’m referring primarily to Dispensationalists, but it’s true of all to some extent.)
When someone has bought into Futurist Eschatology, it makes it hard to see the Cosmological implications in soteriology; especially if someone has also imbibed the Heavenly Destiny fallacy. There will be a new heavens and a new earth, and we don’t have to wait an additional millennium for it to come to pass.