Wikipedia says: " Motorcycles are currently exempt. However, those traveling by motorcycle through the metropolitan area should keep in mind that traffic laws (unrelated to hoy no circula) prohibit motorcycles to travel on expressways and therefore they must use side roads, streets, avenues, etc." .....
And this: "As of April 5, 2016, the availability of this touristic pass is suspended until July 30, 2016." and this " During part of early December to early January, Mexico City and Mexico State participate in a special program with the federal government called the Programa Paisano. One part of this program permits, without any special pass, for foreign-plated vehicles regardless of model year (those with plates from other than states in Mexico) to pass freely through the metropolitan area without regard to the Hoy No Circula program."
There is a lot of ambiguity written into this law which worries me as transitos can interpret or misinterpret many ways - most to my detriment. Although in one sentence motorcycles are exempt, I can't ride on highways? As my plate ends with a letter it looks like Friday is the safest day to assume I can't ride.