Hi Adam
All Christians are faced with continuity and discontinuity between the covenants and between the Old and New Testaments.
Some Christians emphasise the continuity [such as covenant theologians] and others emphasise the discontinuity [such as Dispensationalists and New Covenant Theologians].
Those who believe in infant baptism argue from continuity between the covenants to support this view, whereas those who baptise believers only do not see baptism in the NT as the equivalent of circumcision in the Old.
I was brought up a Baptist and cannot see infant baptism anywhere in the NT. But I suppose those who grew up with infant baptism either see it there, or see it as being compatible with the NT’s teaching on baptism.
For me, the most persuasive argument for things like episcopalianism and infant baptism is the church history one, because although I can’t see either in the NT, they undoubtedly have a long history. If this is the way the church has governed itself and administered baptism for hundreds of years, hasn’t God guided her to do things this way? I’m not persuaded by the argument, but it is the most persuasive one for me.
Arguments from the Bible are not at all persuasive because they seem to involve reading things into the text that don’t seem to be there.
Historically, infant baptism clearly has been seen to be baptismal regeneration for a large part of the church’s history and would seem to be the original justification for it. This is one reason why I can’t understand why evangelicals would embrace infant baptism but not baptismal regeneration.