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Careless driving is a "moving violation," not a misdemeanor or a petty offense.
New Jersey law does provide for the possibility of imprisonment for 15 days on a careless driving violation (NJS § 39:4-104), so based on that, it could conceivably be adjudged by a court as a misdemeanor. But, I think not, because it would mean that nearly every citizen of the state has committed a misdemeanor during his/her lifetime.
It's worth noting that the NJ MVC describes careless driving as a violation, as well (http://www.state.nj.us/mvc/Violations/penalties.htm).
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