Well, it's hard to say who they would have gotten specifically. Different teams have different priorities on draft day. Those picks could have been shipped to other clubs on or before the draft.
Colorado and Detroit would have received five first round picks, both stretching from 1998 to 2002. These were the players that were selected in those years by NYR and Carolina, respectively:
1998: Manny Malholtra, Jeff Heerema
1999: Pavel Brendl and Jamie Lundmark, David Tanabe (Technically, the pick that belonged to the Rangers was used by Calgary to select Oleg Saprykin, but after all the draft day flip-flopping in 1999, the Rangers landed Brendl and Lundmark. At the time, they looked brilliant).
2000: None and None (Not sure what happened to these picks. I believe Tampa Bay acquired NYR's pick in the Pavel Brendl deal. TB chose Nikita Alexeev - a big, fleet-footed winger with little else in the way of talent. Carolina's pick wound up in Colorado. The Avs selected Vaclav Nedorost, a Czech centre who received rave reviews for his two-way abilities. One scout touted him as the No. 2 player in the draft. He left his offence in the Czech Republic).
2001: Dan Blackburn and Igor Knayzev
2002: None and Cam Ward. (The pick that NYR should have had, 10th overall, wound up in Calgary, and the Flames selected Eric Nystrom).
The thing to remember is that there's no guarantee that Colorado and Detroit select these players. Colorado would have likely picked Malholtra - people were shocked when he slipped to No. 7 on Draft Day after a spectacular Memorial Cup - but who's to say. Outside of Ward, none of these players have really done much, and Dan Blackburn is the only player who can blame injuries.