Give Disney its due. The Mouse House has absolutely mastered the feel-good, against-all-odds, historic sports movie.

“Glory Road” joins “The Rookie,” “Miracle,” “Remember the Titans” and “The Greatest Game Ever Played” in the “Disney Wide World of Sports Movies.” It’s an embracing tale of the day in 1966 when race and basketball met in the NCAA Final Four, and America’s Other Pastime changed forever.

But for all that “message” and historic significance, “Glory” is a movie that is adorably light on its feet. It’s history, yes, history slightly distorted to make points about America in the ’60s, and college basketball in the sports-mad South. It’s also very funny, making the most of a cast willing to cut up, and a script overfilled with team-sports hijinks.

It’s about the days when cheerleaders were modest, the players were white and the uniforms were tight.

Dreamboat Josh Lucas stars as Don Haskins, a successful high-school girls’ coach lured to tiny, cut-rated Texas Western (now the University of Texas at El Paso). If he’s willing to take a backseat to the football program, to move his family into the dorm to “ride herd” on the young athletes in his charge, and to live in the dusty Black Hole of South Texas, he can coach men’s Division One college basketball.

How to win down there? He can’t lure blue-chip stars, or any athlete who has the option of going to college anywhere else.

Derek Luke, right, portrays a member of the Texas Western College basketball team during a game against Kansas in Glory

But how about young black men who can’t get into the nation’s big, racially exclusive basketball powers?

We watch Haskins and his mousy assistant and crusty trainer (Elvis pal Red West, in perhaps his best role ever) round up seven black athletes to join the team.

“I don’t see color,” Haskins says. “I see skill. I see quick, and that’s what I’m puttin’ on the court.”

But the school’s geography is a hard sell.

“Texas? To get lynched?”

First-time director James Gartner, working from Chris Cleveland’s whimsical script (“Titans” and “Ali” veteran Gregory Allen Howard is also credited) rarely lets things turn too serious for too long. It’s a formula picture, with the same simplistic strategy (“suicide drills,” and more “suicide drills”) and off-court skirt-chasing hijinks (PG-rated, here) as Coach Carter and a hundred other sports dramas.

Derek Luke heads the cast of players, who are cut-ups, hot-dogs, thugs and the like, until Haskins transforms them.

“Showboatin’ is nuthin’ but insecurity.”

In turn, they transform him and the game.

The real Don Haskins looked a lot more like Brian Dennehy than Josh Lucas, even back then. But Gartner has Lucas play him as both driven and not so full of himself that he can’t bonk his 8-year-old son on the noggin in a game on a dirt court in the middle of a cotton field, and then deny it to his pretty wife (Emily Deschanel).

The villain of the piece isn’t made that villainous. Legendary Kentucky coach Adolph Rupp was almost as famous for his slow-to-turn racial attitudes. He is impersonated to perfection by Jon Voight.

“Feel good” movies have gotten a bad name over the years. “Glory Road” doesn’t get at what drove Haskins, or dive into the inner turmoil of the players. It sets game montages to black gospel music, cleans up the language (“You black leprechaun” is one put-down that stands out) and aims for the sports fan’s Achilles heel: sentiment.

But when a movie this corny still can manage to inspire, “feel good” feels just right. Stay through the credits, when the “real” coach and players talk, and you’ll see the real “Glory” in this tale.