Final answer:
The provided evidence supports the statement that non-native Alaskan support played a role in settling Alaska Native land claims, highlighted by the Alaska Native Claims Settlement Act of 1971, which followed activism by the Alaska Native Brotherhood and Sisterhood and the efforts of individuals for civil rights.
Step-by-step explanation:
The statement that 'the support of non-native Alaskans was an important factor leading to the settlement of Alaska Native land claims' is consistent with the evidence presented in the provided material. After the discovery of oil in Alaska, there was an urgent need to resolve land claims for the state to gain clear title to potential oil-rich lands. The result was the Alaska Native Claims Settlement Act of 1971, which provided Alaska Natives with 44 million acres of land and over $900 million. This settlement can be seen not only as a recognition of the Native claims but also as a result of the economic and political pressures to utilize the state's resources.
Prior to this act, Native Americans, including those in Alaska, had long sought equal rights and citizenship which was granted in parts in 1924. Activism by groups like the Alaska Native Brotherhood and the Alaska Native Sisterhood, and individuals such as Elizabeth Peratrovich, had substantial impacts on the civil rights movement in Alaska, which could have contributed to the environment that ultimately led to the settlement of land claims.