Your point about the Arabs picking up a lot of the Sassanid learning (itself at least in per developed from thinkers that fled the Christianisation of Roman lands) is well taken... but the Sassnids were coming apart at this point.And in fact; gathering scientific works from neighbouring states and civilisations and working with that was something that the Sassanids already did, and just as in the Abbasid Caliphate, many of the scientists in the Sassanid Empire came from different backgrounds as well, including Aramaic-speaking Christians and Gnostics from Mesopotamia, Jews, Persians, and even some Greeks, Indians and Chinese.
In my opinion, the Persian centers of learning during the Sassanid age (especially the academy of Gundishapur) were at least as important for the development of Islamic sciences and civilisation (and therefore also European sciences and civilisation), as Islamic sciences and civilisation were for the development of modern European sciences.
...and it seems to me, that without Islam, we'll automatically see a surviving Sassanid Empire,
and it seems practically inevitable to me that Persian civilisation and sciences at some point would strongly affect
European and non-European sciences and civilisations.
Perhaps the development of a Persian secular culture incompassing Jews, Christians (of various flavors), Buddhists, and Zorastorians united by language could have developed....
HTG