Um, potentially is the best I can tell you. It really depends on the dealership and what their specific rules on the situation are. If you haven't had any accidents, it is possibly they may over look a speeding ticket. Also, if the points are removed via traffic school they may not care. Also, I know with my dealership, they only ran in-state records. I had just moved from NY to PA, and a seatbelt ticket I had gotten didn't even show up on their search. Also your new state maynot transfer over points from your old state. So there are alot of things to go by.
I'd talk to somebody at whatever dealership you are planning to work for, and find out how they check your drivers record. My dealership couldn't even check NY licenses when I first started working for them, so they hired me on my word that it was clean (I choose not to mention the seatbelt ticket, and hope for hte best).
Also I know some guys that worked at our dealership had speeding tickets and accidents during their employment, and probably prior...I wouldn't stress over it too much. If it comes up, explain the situation honestly, say that you are sorry and promise it wont happen again. And if you are a decent enough prospect they will probably overlook it entirely. Just make sure you don't get any more
Good luck
Also, I'm moving this to dealership experiences, because this section is more reserved for advice about traffic violations. So in the dealership section, you may get more of the responses you were looking for.