The hosts bounced back from 2-0 down to level the series with convincing victories in the absence of top stars including regular captain Rohit Sharma and batting stalwart Virat Kohli.
Van der Dussen (75) and the left-handed Miller (64) put on 131 for the fourth wicket to drive the team home in 19.1 overs and lead the five-match series 1-0 in New Delhi.
England, set 171 for victory, were dismissed for 121 in 17 overs, with India seamer Bhuvneshwar Kumar taking 3-15. Earlier, India made 170-8 after being sent into bat.
India had already made sure of a series success after taking an unassailable 2-0 lead in a three-match campaign with victories at Southampton and Edgbaston.
Seeking a first T20 World Cup appearance, the United States were far too strong for Singapore despite the Asian nation being ranked six places higher.
Top Pakistan T20 cricketers, including their skipper Babar Azam, Mohammad Rizwan and tall pace bowler Shaheen Shah Afridi, are set to join the BBL inaugural draft for international players, a media report said.
A depleted Bangladesh will take on a confident UAE in the opening game of the two-match T20 series to be played in Dubai on Sunday.
Mohammad Rizwan underlined why he will be a key weapon for Pakistan at the Twenty20 World Cup, top-scoring in a 21-run win over Bangladesh in Christchurch on Friday.
Allen made 62 including a half century from 32 balls and Conway followed his match-winning 70 against Bangladesh on the weekend with an unbeaten 49 on Tuesday as New Zealand easily surpassed Pakistan’s 130-7.