Hi Mrd, I have recently gone through the process of getting ATT (and subsequently passing NCLEX), and did not find it too difficult getting my nursing degree (from New Zealand) recognised in the US. However, you will need to be aware of a few 'hurdles' many do face.
Firstly, each BON has different requirements - there are some that will require you to get CGNFS, simply because you would be viewed as a health professional with an international qualification, even though you are a US citizen.
Also, you would need to be sure that the nursing degree meets the same educational standards of a nurse trained in the US. Although the universities here in Australia are good (and certainly can be cheaper too!) they don't met the criteria for nursing in the states. i.e - to qualify for with BON you have to show you have a certain amount of theory and practical hours in medical, surgical, pediatrics, mental health and maternity.
I know of many Australian trained nurses that did not cover maternity at all in their degree, or only the theory but no practical. They have subsequently had to go on to do extra training to meet the BON criteria. Similarly, in New Zealand, many nursing schools do not offer practical pediatric placements, so again, don't meet the criteria.
To be honest - if I had the choice, I believe it would be easier to study where you intend to work, so you learn the health system.
Hope this helps with your decision making!