New Jersey may have a Republican governor, but according to a new Rutgers-Eagleton poll, most Garden State voters side with Democrats on core issues.

Governor Chris Christie opposes a minimum wage hike and same-sex marriage, but a new poll shows most New Jersey voters disagree on both issues. (Governor's Office/Tim Larsen)

More than three-quarters of registered voters say they will vote 'yes' this November to increase the state's minimum wage by one dollar. Governor Chris Christie recently vetoed a similar measure, but a large majority of Republicans still approve of the increase.

"Voters are very sympathetic to the idea that the lowest-wage workers need an increase," said David Redlawsk, director of the Rutgers-Eagleton poll.

Garden Staters also want a say on same-sex marriage; 67 percent would prefer the question be on the ballot, and nearly 60 percent would give same-sex marriage the green light.

Governor Christie has told Democrats they can put the issue on the ballot, but Democrats have said that issues of civil rights should not be put up for a vote.