In general (I'm sure someone will disagree), you want the front suspension fairly stiff and the rear as soft as possible while still being able to hook the rear tires up. The rear suspension needs to be free enough to work at launch.
The only goal is rear end traction to propel the car forward. Fronts only serve to keep the car straight. Play around with lowering the rear tire pressure. You can set the fronts as high as they'll go.
I'm 41 and my geezer dad is in his mid 60s but he's still at the local 8th mile strip most weekends during the summer. He's building a new car (tube framed tubbed monster) but his old one is an early 70s Nova. It hooks up enough to pull the front end just a bit. Not that you want the front end 6 feet in the air mind you, but you do want the rear to bite. He's running some pretty large slicks though. It certainly isn't exotic.
I couldn't say anything about top fuel or really high end drag racing setups as I've never been around that. Just local stuff.