Yes, let's give credit where credit is due:
http://www.fordham.edu/halsall/med/grabar2.html
highlights inspiration for the work on the Dome of the Rock. Also see history.com for more information about the use of Byzantine craftsmen in the development of "Islamic" architecture.
In Syria, the Athanasian controversy contributed to the iconoclastic argument in the church architecture there.
Or so said the Profs I had years ago.
Now, to say the Hagia Sofia was uniquely Islamic is a lie, as it is a converted cathedral. To say that the Blue Mosque of Isfahan did not inherit the figural patterns of developed through work of the Byzantine craftsmen with the early Umayyads in Syria is also not true. These arch and tile work artisans kept developing after the islamic conquest, but work was both already done, and, apparent prior to it.
