Chasing 164, the Black Caps rode on a brilliant 84 not out from Seifert and unbeaten 57 from Williamson to comfortably chase down the target with four balls to spare.
"There are shorter boundaries here and we had a good game last time. For the bowling line-up as well we wanted to be more professional and test ourselves," skipper Virat Kohli said.
Wade took over the captaincy reins for the second T20 against India here on Sunday after Aaron Finch picked up an injury in the opening game in Canberra.
"It was a difficult decision for Kane to make but one which has the complete support of the selectors and the entire playing squad," CA national selector Trevor Hohns said on Wednesday.