I think some plain english is needed here
you won't be setting the router up on the mac. You might set it up WITH the mac, but the router will do it's thing by itself. It will still be running even with all computers shut off. All the router does is allow multiple computers to talk to each other or to the internet. No matter what computer you set the router up with, the router can always accept any computer with the proper networking hardware (in your case up to 4 wired connections and a whole crapload of wireless connections).
Since you're obviously new at this, make sure when you set up wireless security that someone who knows what they're doing is only a phonecall away - wifi security can be a BITCH to get working right depending on your hardware.