The Wildcats are a No. 16 seed and will play No. 1 Arizona in the first round of the West Regional on Friday.
"In our situation, we knew it was going to be a top team in the country," said Rahe. "But I guarantee you one thing. A Wildcat is going to win. That much I know."
A 16-seeded team has never beaten a No. 1 seed, and Arizona will be a top-heavy favorite to continue the mastery.
Weber State seems unconcerned.
"We're excited," Rahe said. "Arizona is obviously a prestigious program. They were No. 1 in the country most of the year. They've got an outstanding team. But that's what we want. We want to go play the best. So let's go take a swing and see what happens."
Senior Davion Berry agreed.
"I'm just happy we made the tournament and we get the chance," he said. "Most teams don't get the opportunity to play in March in the tournament. I'm just excited for my team and Weber State."
What does Berry know about the Wildcats, who are 30-4 this season despite a loss to UCLA in the finals of the Pac 12 tournament?
"I've watched them on ESPN," Berry said. "Of course, they get all big-time [TV] games. So I know they are athletic and long. But we're going to be ready."
Berry admitted "feeling a little queasy" when Weber State was announced as Arizona's opponent, but it was not nervousness over playing a team led by projected NBA lottery pick Aaron Gordon.
"It just doesn't even seem real right now," Berry said. "But tomorrow it will settle down, once we get in the gym."
Weber State takes a 19-11 record into the NCAA tournament. The Wildcats started 2-5, including an 83-60 loss at UCLA on Dec. 22.
Weber finished strongly, however, and finally reached the Big Dance after playing in the Big Sky championship game four times in the last five seasons.
According to Rahe, the NCAA berth is a reward for his seniors.
"The last couple of years, when I got mad at them, I've thrown it in their face that they haven won anything," Rahe said. "... It probably wasn't the nicest thing to say. I was trying to motivate them a little bit. But now they can say they've won something. I'm really happy for them."