Ireland fell 29-28 to the Barbarians on Tuesday night but Kidney saw enough in the form and fitness of forwards Chris Henry and Brett Wilkinson to include them in the party.
While the former Munster coach has also picked Connacht's Mike McCarthy, as cover for O'Connell, Ulster scrum-half Paul Marshall in place of the injured Isaac Boss and prop Ronan Loughney, as a potential stand-in for Leinster's Mike Ross.
Despite losing in Gloucester, Ireland's young wing pair Simon Zebo, 22, and Craig Gilroy, 21, showed their worth to the side with three tries between them.
Full-back Keith Earls grabbed the other while fly-half Ronan O'Gara converted all four efforts.
Uncharacteristically for a Barbarians match, the result was determined by a penalty kick from Barbarians fly-half Felipe Contepomi two minutes from time.
The invitational side set to rights their 57-26 loss to England on Sunday with tries from Iain Balshaw, Cornelius Van Zyl, Paul Sackey, Mike Tindall and Contepomi's four goal kicks.
Ireland's tour of New Zealand sees them play Test matches in Auckland on June 9, in Christchurch on June 16 and in Hamilton on June 23.
Forwards: Rory Best, Sean Cronin, Declan Fitzpatrick, Cian Healy, Jamie Heaslip, Chris Henry, Ronan Loughney, Kevin McLaughlin, Mike McCarthy, Sean O'Brien, Donncha O'Callaghan, Peter O'Mahony, Mike Ross, Donnacha Ryan, Mike Sherry, Dan Tuohy, Brett Wilkinson
Backs: Darren Cave, Gordon D'Arcy, Keith Earls, Rob Kearney, Paul Marshall, Fergus McFadden, Conor Murray, Brian O'Driscoll, Ronan O'Gara, Eoin Reddan, Jonathan Sexton, Andrew Trimble, Simon Zebo