You don´t drop the engine, you drop the transmission.
But yeah that is going to cost an arm and a leg, For the MDX? I will do it in +10 hours aprox. No less than 10 though.
FYI: You don´t remove the engine because it involves a **** ton of tubing, anti-freeze and A/C lines.. Transmission removal is FAR EASIER compared to that and you typically just need to top off some leaked ATF.