It is suggested you read the previous post before reading this one.
In the previous post we saw that there were anagenetic events/process on the pterosaur line. What prevents that line from continuing? Nothing actually. In fact it did continue. Through the processes of cladogenesis and anagenesis it continued on into the line of primitive birds, and then modern birds, just as this entire site has been presenting.
That being the case, we can correct the placement of birds on the cladograms. We remove them from where they are misplaced now and place them on the pterosaur line.