I don't consider that Ocean County is really 'South Jersey'. It's in the New York CSA and has the most culturally in common with Monmouth. One argument in favor of its being part of South Jersey is that it contains parts of the Pine Barrens, but all things considered I just don't think that really means as much as the CSA divisions or the nature of the Jersey Shore.
I only included Ocean County as it's sometimes included, and geographically made sense.
Incidentally, this appears to have a major shift in terms of vote totals. If Ocean County were part of North Jersey (NJ) instead of South Jersey (SJ)...
2012 - SJ would have gone 59.6% compared to 58% for NJ.
2008 - SJ would have gone 59.6 for Obama compared to 56.6% for NJ
2004 - SJ would have gone 58.6% for Kerry compared to 52.4% for NJ
2000 - SJ would have gone 58.3% for Gore compared to 55.8% for NJ
1996 - SJ would have gone 54.0% for Clinton compared to 53.6% for NJ
As a whole, Ocean County would make South Jersey much more Republican, but without it, both Jerseys remain pretty solidly Democratic, with South Jersey being even more of a Democratic stronghold.
If South Jersey had Ocean County, it would have a population of 2,422,041, between Kansas and New Mexico. That is the cusp between 5 and 6 electoral votes. If Ocean County weren't there, South Jersey would have a population of 1,845,474, or slightly behind West Virginia, and slightly ahead of Idaho. This is on the cusp of 4 or 5 electoral votes. Without Ocean County, North Jersey would have 6,369,835 people, between Tennessee and Missouri and between 10 or 11 electoral votes. North Jersey would have 6,946,420 million people, between Washington and Massachusetts, on the cusp of 11 or 12 electoral votes.