I'm not familiar with Michael Bird who helped draft this statement. The bottom of the statement mentions the World Council of Churches, a very liberal ecumenical group that would naturally advocate the abandonment of all doctrinal distinctives so that all the churches can get together (under their leadership, of course).
Bird, on his own web site, references John Bunyan and the Evangelical Free Church of America in support of his broad position on baptism, and I believe he is accurate about that - John Bunyan's church did not require adult baptism for membership, nor does the EFCA. (I don't agree with that policy myself). It has been alleged that John Bunyan had a child, Joseph, baptized as an infant in the Anglican Church in 1672, but Thomas Armitage, in his "History of the Baptists," disputes this - he believes that the infant in question was John Bunyan's grandchild, not his child. Nevertheless, it must be grudgingly admitted that Bunyan, the famous author of "Pilgrim's Progress," was not a thoroughgoing Baptist.
From the "Didache, or Teaching of the 12 Apostles," Second Century AD: "This is how to baptize. Give public instruction on all these points, and then baptize in running water. . . . Before the baptism, moreover, the one who baptizes and the one being baptized must fast, and any others who can. And you must tell the one being baptized to fast for one or two days beforehand." [Doesn't sound like infant baptism to me].