Retirement tax questions

A rollover to a IRA or 401 is quite unlikely since a kiwisaver account is not a qualified account that could be transferred.  

 

If you liquidate the kiwisaver account, that income is reportable on a US tax return since your spouse is  a Green Card holder and all worldwide income must be reporte on a US tax return.  There would be a credit for foreign taxes paid if taxes were due to NZ.   I am assuming no tax was ever paid on the money contributed into the kiwisaver account.