But while he expects passions to run high, Price wants his men to keep their cool against Tiger Woods and co.
"I'm a big one for confrontations," said Price. "I keep telling my guys, 'let's go out and win this cup.'
"I don't want to see them become enemies for one week -- what I want to see is great competition.
"I want to see them go out there and want to beat each other and look at each other in the eye after you've finished and say 'congratulations, you played better today.'
"I don't want people coming up with excuses and walking off the greens while the other player is putting.
"To me that brings the whole game into a very sad state."
The U.S. team boasts a wealth of talent and experience with the likes of Phil Mickelson, Brandt Snedeker, Jason Dufner lining up alongside world No.1 Woods.
Price realizes his team faces a difficult challenge to triumph in Columbus, Ohio but says he will do all that he can as captain to inspire his men to a momentous victory.
"Being captain is a doubled edged sword -- it can hurt you and it can help you a lot," he said.
"I'm trying to be a captain that is going to be very supportive of my team but not over captain them and there's a very fine line between that.
"You want to give the guys advice. I'm certainly not in the Seve Ballesteros type -- running out over the course and saying 'hit here and do this' but that was Seve, that was the way guys expected when he was captain.
"I just want them to know I'm going to be there to support them in anything they need to know or need to use me as a sounding board. I'm going to be there."