Haven't seen On Your Feet, but from having seen Allegiance, and reading the board's opinions about On Your Feet. I'd say:
Both musicals have their strengths. Allegiance deals with earnest, emotional and important themes and historical events. However, it's not the most well-constructed musical, and the music isn't the most interesting. On Your Feet, from what I gather, is also not very well-constructed, but Gloria Estefan's music is a lot of fun, as is the musical as a whole.
If you like jukebox musicals and/or Gloria Estefan, go see On Your Feet! If you like more tradition-style musicals that deal with more heavy themes and historical events, go see Allegiance.
If you want a more direct answer based on my own personal preference in musicals: see Allegiance, not On your Feet.
Updated On: 10/15/15 at 08:16 PM