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bet youre a blast at partiesHi, Jasmina.
Not sure exactly what you mean by "street racing" but for the most part folks around here take safety pretty seriously and ride more or less responsibly on the street. Not a lot of hooligan stuff, though there are stories.... Point is that if that's what you're after, you're not likely to find it here. The regulars take their need for speed to the track.
That's "road racing" which is different. "Street racing" brings up images of racing for "pinks," wheelies, helmet mohawks, LED kits, slammed Hayabusas, tatted riders in sneakers and wife beaters, stretched swingarms and high-speed police chases. Aka Fast & Furious on two wheels.
Speaking of the track, good for you for wanting to check it out!
There are lots of ways to ride on the track. The simplest is to sign up for a track day. You can also attend a race school, go to a structured riding school like California Superbike School ($$$$$) or get fully into racing.
There are a few local trackday organizations. The one many of us ride with is Tony's Track Days, aka TTD (tonystrackdays.com ... go there for their schedule), but there are others. Tony's is safety oriented and very well organized. That doesn't mean it's slow!
Hit the track and you WILL become a better rider, and have a blast doing it. And I think that if you ask around, almost all track riders will tell you that once you experience the track, riding fast on the street is less interesting to them. Some even give up street riding entirely... it's that addictive. It's also a whole lot safer (no cars, no cops, clean pavement in good repair, a lot less nasty stuff to hit if you crash).
Actual racing (vs. track days) in the Northeast is pretty much centered around Loudon, New Hampshire (New Hampshire Motor Speedway) but also happens down in southern New Jersey at New Jersey Motorsports Park. Both are a hike from NYC, but that's racing for you. Racing is a whole different deal and can get very expensive in a hurry.
A good way to scope it out for free is just go to a track day and walk around. You'll have your fill in about an hour (riding is more fun than spectating) but you'll get a true picture of what it's like and the sort of people who ride on the track. You'll find that it's pretty cool. You can also sit in on any classroom session you like.
Tracks within reasonable striking distance from NYC:
Palmer Motorsports Park - Palmer MA, just east of Springfield and AWESOME. Not so great for spectators but a spectacular venue, with the track built around the top of a mountain (tip: Visit a two-day TTD event on the afternoon of the first day; after the track closes at 5, there will be a track walk. WELL worth it).
Thompson Motor Speedway - Thompson, CT, northeast corner where CT, MA and RI meet. Shorter/smaller than Palmer, fun track, good for spectators (you can see every corner)
New Hampshire Motor Speedway - Loudon, NH. Older track with a lot of character. TTD doesn't go there currently. De facto home of racing in the Northeast.
New York Safety Track - Harpersfield, NY. Up in the Catskills/middle of nowhere, near Oneonta. Terrific, technical track, not-so-great facilities.
New Jersey Motorsports Park - Millville, NJ. Southern tip of NJ, big-league racing facility (MotoAmerica goes there). TTD does not go to this track but several other organizations do.