Are you gonna be staying in the US, or is this a short term thing? The rules you'll have to deal with at Customs will be different based on your stay. Check with US Customs on what to expect when bringing in a bike from outside the US. Even though we got 600 Bandits that year, yours is likely not a US model, so there may be complications.
One thing you may want to consider is selling your UK B6 and picking up something (another B6, or something else) once you get here. Since the Bandit is much more popular in the UK, you may get more for it there and have enough cash to buy something newer and/or bigger once you get here - especially if you add the funds you'd have spent on shipping.
We also don't have tiered licensing. Once you have a motorcycle endorsement, you're good to go on anything from a 50 to a Hayabusa. So that's something else to consider if you'll be here long enough to get a state driver's license & motorcycle endorsement. (States handle licensing, it's not at a national level. Also, unlike the UK, most US states require a car license before you can get the m/c add-on.)