I have PIP and liability and my windshield was hit by a buzzard and it was cracked. Will my insurance company replace it?

The insurance that you are currently carrying is liability insurance.  You need to have comprehensive and/or glass coverage to protect you for the damages caused by the buzzard.  The standard auto policy covers damages by birds, deer or other wild animals under the comprehensive coverage.  Comprehensive insurance also includes fire, theft, vandalism, flood and other damages, other than collision.  Some companies also have a separate deductible for damage to windows, but you still need the comprehensive coverage.  Please be sure to talk to your insurance agent to be sure you understand what insurance coverage you currently have on your car.  Comprehensive insurance is generally inexpensive, so you may want to consider adding this coverage to your policy if you don’t currently have it.