Can we Reject Paedobaptism and Still Receive Paedobaptists?

There are some great discussions happening on Twitter about baptism and church membership (for instance, Jake Meador started this one, which carried on for quite some time). I have enormous respect for people on different sides of the issue, and I am neither settled nor certain on every detail myself. This is a tough topic, and I think we should have grace on each other amidst differences.