I would say yes but probably best to check with local Harley dealer and ask if the inner faring from 2015 Ultra Limited the same as your 2016 Street Glide. If the catalog and web site show same part number for both bikes it should be a match.
I was out of town over the week end. When I got home last night I checked the 2017 HD Master Catalog. It shows the same inner faring for the 2014 - 2017 Electra Glide and Street Glide so it will fit. The only question is are your mirrors faring mounted or handle bar mounted. Mine are handle bar mounted so the faring does not have the holes for the faring mounted mirrors. If your mirrors are faring mounted you could probably drill the holes for the mirrors.