Different region, no chance. UEFA is specifically for the European region (as defined by FIFA). However, there is launching, this year, a new CONCACAF Champions League (replacing the former CONCACAF Champions cup single-elimination tournament) that will use the same basic format as the UEFA Champions League.
(For those not in the know, CONCACAF is the region for North America and the Caribbean -- the dominant clubs in the competition will likely come from the MLS and the Mexican league.)
MLS automatically qualifies two teams to the final 16: for this year, those teams are Houston (MLS Cup Champions) and DC (President's Shield winners [regular season title]). Two other MLS clubs (New England and Chivas USA) can qualify for the final 16 in the preliminary round.
Here’s my point, who can name the top Mexican clubs? Yet, most any casual soccer fan will know about Arsenal, Manchester United or Real Madrid, etc.