Did a lot of what the Spanish did in the New World in terms of 'Othering' non-Spaniards come from what they did during the Reconquista?
Were there detailed records kept of Moorish and Jewish subjects kept?
How did Spanish authorities go about removing the Moors? Was there a warning given telling them they had time to vacate? Were there deportation notices, with ports that they were to exit on? Was there any resistance to the expulsion when they came to appropriate Moorish property and check to see if they had left. Did the intensity and generosity in terms of the application of violence vary by region? Was the process of expulsion drawn out over time, or was it very systematic?
Most of all, what is the Spanish conception of race? Did they, much like other racially stratified societies like antebellum/Jim Crow South or Apartheid South Africa, have segregation in terms of public accommodations and workplaces (so, I guess in terms of where they could till/what guilds or apprenticeships they can acquire)?
On a mobile until next week, so unfortunately I cannot give a comprehensive reply at this time.
In the time period you are asking, there was not yet "Spain" as we know today. Rather, there was a collection of kingdoms, duchies, etc. that did not share a common governmental framework. So obviously, when it comes to issues such as how to deal with Moors, Moriscos, Converso, Mozarabs, Mudahers, there was great variation by region and time period.
The early 1400s saw Conversos in Andalusia gain entry into the nobility circle, often acting as agents and money lenders. This led to resentment by the peasants that culminated in the revolts such as one in Toledo in 1449. Importantly, Toledo became the first major city that enacted a law on purity, that is, a person of Converso blood could not hold high office.
Aragon was notably very tolerant, consistent with King Ferdinand II having some Converso blood in his own veins. However, depopulation of Aragon and Andalusia due to Mediterranean piracy, plague, and economic downturn saw many Converso and Morisco relocate to parts of Castille and bring economic competition against the native Castillians. Many Moriscos were farmers while most of Castille depended on sheep herding for revenue, so there was strong polarity between the two. If you read Don Quixote, the title character often say that he is "but from a humble sheep herding family," which in that time period suggested that they are pure Castillians.
The same period also saw a shift in policy, from peaceful conversion to Cardinal Cisneros' preference to force all to accept baptism regardless of whether they truly believed in Christianity. As a result, the following decades saw genuine converts ask advocate for an early form of inquisition as they saw many converts secretly still practice Islam or Judaism.
The major expulsion under Philip II was hastened due to the discovery of Ottoman agents with plans to invade Spain and fomenting an uprising among Moriscos to fight against Spain.