I think it will be markedly different. Each individual component contributes to the entire handling differences. Ride height, spring rate, suspension arm geometry and weight, damping rates, elastomer mounts/stops durometer, presence or absence of rigid pivots, tires, steering ratio and leverage, DSC, ABS and suspension software, etc., etc. All of these things are different from a base car to the M car and they all add up in each model in a very noticeable fashion. If you want the best handling go for the M, hands down, no questions.
Or... buy the base car and mod the piss out of it, typically making many things actually worse and then boast about how the base car can be made better than the M for less money...
