As Ligon Duncan, a Presbyterian, points out in this video, Baptists can look narrow-minded in a tolerant age. But as Thabiti Anyabwile explains in response, Baptists seek to follow a logical progression revealed in Scripture from preaching the gospel to regeneration by the Holy Spirit to baptism to membership and finally communion.
As the video continues, you'll see Duncan and Anyabwile discuss the analogy between circumcision and baptism along with the discontinuities between the old and new covenants. And in case you're not familiar, Duncan offers a quick overview of the often-misunderstood Presbyterian position on baptism. He has plenty of practice, considering he grew up in a South Carolina county with 385 Baptist churches and only about 14 Presbyterian congregations. He'll show you Presbyterians don't just baptize babies because they're liberal, haven't thought it through, worship tradition, or still can't escape Roman Catholicism.