Architecture: the horseshoe arc was of Visigoth inspiration, other architecture inspirations were Byzantine or Indian (mostly domes). The fortifications and castles (also the siege machines) were superior in the western, also before the arrive of the Arabs to Spain or Italy.
True, but, all arquitecture in history was based in previous civilizations.
Poor materials, what is the problem? there is no doubt about tha alhambra is the highest artistic expression of Western Islam.The Alhambra is a fortification of westerner design (but constructed by the grenadine rulers), and its decoration being beautiful and refined only used chalk and pottery (material considered poor). The expensive material was stone and woods. One thing, thanks to the Spanish that the Alhambra exist today (so great part of the mosque of Cordoba).
Not True, Alhambra is a Palace, Alcazaba is a part of Alhambra, this is a fortification.The Alhambra is a fortification
Philosophy was all based in classical works, mainly Aristotle’s. Example seen in Averroes and Maimonedes (who was a jew). Curiously both went to exile to Egypt having fear of the “fanaticals”. And no so few were fanatics. All the Islamics civilizations arounds the Koran in nearly all the aspect of life
Western Islam was bassed in classical works, yes, In this period, Aristóteles and Platon are forbidden in some Christians states. Maimonides, had to pretend his conversion to Islam to avoid persecution of almohades in 1148.
This is an absurd vision, Averroes and Maimonides, lived in times of Berber occupation, religious Berbers authorities can be seen as fanatical, but the Andalusian period is earlier, in this period in the mosque of Cordoba, Muslims prayed on Fridays, Saturdays Jews, and Christians on Sundays, I do not think that this shows a fanatic societyAnd no so few were fanatics. All the Islamics civilizations arounds the Koran in nearly all the aspect of life

Jihad is not a sample of Fantism, is one of the 5 precepts of Islam.Ribat a aspect of the use of the Jihad. And yes the Jihad is a sample of fanatism
I have 3 Koran versions in Home.Read the Koran
This the reason because the Visigoth people recieved arabs with open arms.In law, I think it was better the Visigothic code (based in the roman law) than the Sharia so used in Spain during the moors domination.
Cheers
David