A hands-off front fork wobble at 30-45 mph is often traced to the front tire being slightly out of round or irregularly worn but because the tire is new and you mention the bike wants to turn I would try and loosen up the fittings that hold the front wheel and let the forks align themselves.
Loosen the 6 bolts that hold the front fender in the forks and the pinch bolt on the lower left fork leg. Get on the bike with both wheels on the ground (not on center stand). With the engine in neutral hold the front brake and bounce the forks up and down a few times to compress and extend the forks then tighten every thing back up in reverse order starting with the pinch bolt.
If this doesn't remove or greatly reduce the wobble I'd be taking the bike back to the dealer that sold you the tire. They may tell you "don't take your hands off the bars" but persevere for a replacement tire.