Has the BitLicense affected other U.S. state regulators' actions?
To answer your first question, @Cointelegraph writes "burdensome and expensive process of acquiring such a license, the lack of agility as a consequence of the regulations, or customers' privacy concerns". 

Companies who have left New York state because of the BitLicense include, amongst others: ShapeShift, BitFinex, Kraken, LocalBitcoins,Rebit and Genesis Mining.

The blockchain which is used as the underlying transmission component for bitcoin is modeled on the notion of a deregulated system. Attempts by players to regulate a deregulated market demonstrate inadequate understanding of the blockchain technology, while failing to acknowledge the fundamental human right of free market participation by free people.