The Muslim dominion of the Iberian Peninsula did not last 800 years. The Muslim invasion started in 711 CE, and by 1085 Toledo has fallen back to the Christian kingdom of León. Granada would eventually be conquered in 1492, but most of the old Visigothic Kingdom was already in the hands of the Christians.
Islamic contribution within the context of European history should be both acknowledged and recognized as being autoctonous, but attributing to it things that well attested through other pathways works against it and reinforces myths historians are toiling to get rid of.
The Renaissance as we know it was kickstarted by the conquest of Constantinople in 1204 by the French and Italians, that's well documented and broadly agreed on by historians. All of this happened on the foundations laid down from the 11th c. onwards as the post-Carolingian world was stabilized.