Ouch! Well I'm afraid it looks a nightmare for what you'd expect to be a simple job. According to Haynes 61016 and Mazda manual, http://www.mellens.net/mazda/Mazda-Miata-2006-2007/cooling_system.pdf it reads more like taking the car off the rad than the rad out the car,
it comes out the bottom along with the fan and shroud after,
disconnect battery
raise car
remove under cover
drain coolant
remove battery and tray and cooling duct
remove air filter housing
remove pcm
remove pcm cooling duct
remove coolant reservoir
disconnect rad fan
disconnect upper and lower hoses
remove power steering cooler line and air con condenser (do not disconnect hoses)
remove upper and lower rad insulators
