If you've got abs, probably better to continue with abs. The glue is more of a solvent - it actually disolves the top layer. It evaporates fairly quickly leaving the two pieces welded together. The primer is basically a cleaner - it takes the top layer off and give the solvent a little "tooth".
I'm not sure if there is a good way to connect abs to pvc, maybe. Suppose you could use a no-hub connector - they may be another approved way.
Try to give the pieces a good twist when putting them together - it helps to ensure you get complete coverage and that you seat the pipe fully in the connector/fitting.