I've already seen this now ten-year old film a couple of times. It's a pretty mediocre work that could have been much better given the amount of talent in (most of) its cast. Roger Ebert kindly gave it three stars.
DWM's strong points are considerable.
For those of use who have spent a fair amount of time in such places, its portrait of a small-time dance studio is reasonably accurate - except that very few such places have prospective national champions on their staff.
Then there's Vanessa Williams, easily one of the most gorgeous women on the planet (especially in that blue dress), a good enough dancer to play her role convincingly, a decent actress, and living proof that no one should take beauty pageants seriously.
The film's other main asset is the power of its many good supporting performances, most notably Kris Kristofferson, Joan Plowright, and a surprising Jane Krakowski. Also, there are several scenes with some good Latin music.
But "Dance with Me" has two serious weaknesses: an utterly cornball script and a nauseatingly awful performance by its male lead, the Latin music star Chayanne. If he has dance skills this film certainly fails to show them (a statement that is somewhat true of Williams as well). He certainly has no acting ability and was obviously chosen purely for his looks.
DWM is like most showcase performances at one of those small studios. We watch because we like the dancers more than their dancing and, when it's over, we forget about it completely.
Still, it's a hell of a lot better than "The Tango Lesson."
jj
Added note: Movies always have different versions, especially when they're recut for television. The dance scene with Ruby and Rafael at the end is longer in this version than in the one I first saw in the theater. I distinctly remember being disappointed that it didn't last longer the first time that I saw it.