I don't have time to do this topic full justice this morning. However, one thing worth mentioning is that bond strengths refer to homolytic breaking of a bond, which create two radicals (each nucleus departs with one electron from the bond). On the other hand, the dissociation of a proton, H+, from a substance is a heterolytic process, in which the proton does not stay with either of the two electrons.
Carbon dioxide can combine with water to make H2CO3, carbonic acid. The conjugate base is the well-known bicarbonate anion, HCO3-.