A group of scholars got together to answer that question, and the resulting scholarly volume became After Jonathan Edwards: The Courses of the New England Theology, edited by Oliver Crisp and Douglas Sweeney. They ask both what effect Edwards has had in different venues and what developments his theological ideas had in the “New England Theology” of the 19th Century.
I have a review of the volume up here at Religion in American History.
This would be an interesting read for fans of Edwards–since there are plenty of modern-day Edwardseans out in the world–as well as for historians, theologians, seminarians, and anyone else interested in Edwards or his legacy.
And, the review even earned a notice in John Fea’s Sunday Night Odds and Ends Column.
Check out both links.