Juan Pablo II is a huge building - and has very few students. I lived across the street for about 3 years. It was originally built by the brother of ex-regidor Hugo Bautista without much research. He wanted a bilingual school on this side of the city -- except there aren't the resources (read: no teachers of quality who speak english or students whose parents were willing to pay for a second-rate bilingual).
It was then changed to a uni-lingual school with a strong english program (one hour a day for all students). I passed through one day just to see what was up - the psychologist couldn't tell me what methods they used for teaching (she kept pointing me at the books they used. I told her books aren't methods, they are resources), she insulted americans like six times (american teachers are greedy and want to be paid too much, americans need a lot of attention...) and when i pointed out all of the grammatical errors on their fliers/brochures she told me "you know gringos don't speak spanish and it was a gringo who made this." i don't know that she ever suspected me to be a gringa.
all said and done, it's economical (i think about 2,000 pesos a month), the english teacher is a nice guy and his english is ok, and if you live on this side of the city, not a horrible option - however, Colegio Quisqueya, and the Catholic school behind mCdonalds (in las colinas) are both much better options