Are the Children of Covenant Believers Members of the Covenant by Baptism?

Over at Iron Ink, I commented on an article where the blog author gave his answer to the question, "Is It Possible to Be Both Theonomic and Baptist?" This led to a "discussion" over baptism and the covenant.

The paedo-baptist commenters said such things as as: we don't evangelize our children because we assume they are saved, God commands believers to bring our infants to the baptismal font, bringing the gospel to your children and waiting for a profession of faith before baptizing them is "wrong" and encourages "making a decision for Christ" (Arminian) soteriology, and babies born of believers are saved and in "the covenant."

I won't be putting Iron Ink in the side bar because of the error of hyper-Calvinism promoted on their blog.

However, I will be responding to the comments in this article over a series of posts.