Afraid not Sylvain - you need a mark 3 / NC MX5 gearbox.
Someone might be selling one if you fancy going to Stoneleigh next month
An NC box should take the power/torque of an Ecoboost - the NC Supercup race cars are about 180bhp (but would likely be less torque than a 180bhp Ecoboost).
An NA / NB box is rated for about 250bhp (for a 5 speed) and a bit more for the vastly more expensive 6 speed.