Don't forget there is a huge difference in the rules between 2003 and today. The rules today are designed to make offense score more points. This team wouldn't score nearly as much using 2003 rules as they do now. That defense would clamp down on this team. Not sure this defense could do the same to this team.
2003 Tim vs 2014 Tim - 03 Tim would dominate.
2003 Robinson vs 2014 Diaw - Robinson would own the paint and allow the perimeter D to stay at home. Diaw would be able to pull Robinson out of the paint but Robinson was still athletic enough to recover.
2003 Bruce Bowen vs Kawhi Leonard - Bruce was the premier defender in the NBA back in 03 he would shut Leonard down. Leonard would still do well on the boards but not in the score board.
2003 Manu vs Green - would be a pretty even match up but Manu was extremely athletic and no one had really scouted him yet and knew the crap he would pull out of his butt.
03 Parker vs 14 Parker - no doubt today's Parker is so much better than 03 Parker but 03 Parker would keep the pressure on 14 Parker with his speed and athletic ability.
Bench 03 Stephan Jackson, Milik Rose, Steve Kerr, Speedy Claxton, and Kevin Willis vs. Manu, Boris Diaw, Patty Mills, Tiago Splitter, Marco Belinelli.
I'd call the benches about even.
Pop today is a much better coach than Pop of 03.
The real difference is MVP Duncan who would dominate the paint. But I think the series would go 7 games.