Lucky you to have an offer of employment in NJ!!
I was in NJ over Christmas and New Year just gone staying with a family I know, and compared to Perth Western Australia I found it great value for money. Actually Perth is hugely expensive now, almost out of control.
I cannot speak for utilities etc, but I have done some research and generally I feel that the value for money is better in the USA, assuming you are employed though. Property was cheaper, as were cars,fuel, clothes, and many other day-to-day items. Eating out can be expensive to, especially with the USA tipping regime.
My only concerns are the cost of property tax and health insurance.
If you have money behind you then this would make the move easier as your debt in NJ would be less. You can buy decent homes from 200K.
One reason alone would make me want to move to the USA and that is the great customer service, which is sorely lacking in Australia now. Obviously the USA has greater choice.
If I can secure sponsored employment I would choose to live in Morristown, actually anywhere on the train line from Hackettstown to Hoboken would be great.
I hope this helps in some way and best of luck