The part you specified won't fit your 2016 Limited. The 2015 and 2016 Limited have a new front bumper design with LED DRLs. From what I remember reading around here when the 2015's started coming out, there is no option from the dealer to order fog lights for your 2015 or 2016 Limited. The fog light and LED DRL are one entire assembly and if it were possible to order them, I imagine it would be very expensive just for wanting fog lights on your car.
As for ordering them elsewhere, you may be able to find the assembly somewhere eventually but as for having it programmed to work on your 2016 Limited, I am not sure. You'd have to speak to your dealer about that.