The most accurate response is:
Puritans wanted to colonize North America to escape persecution and establish a new religious society there. Iberians wanted to forcefully and aggressively convert the populations of South America.
This statement captures the fundamental motivations behind the migrations: Puritans sought religious freedom and the opportunity to create a community based on their beliefs, while Iberian colonizers, particularly the Spanish and Portuguese, aimed to spread Christianity and often used coercive methods to convert Indigenous populations in South America.