Final answer:
The radical Republican objective for race was to end white supremacy and enact racial equality. However, the representation of this objective within the Republican Party was not consistent.
Step-by-step explanation:
The radical Republican objective for race was to end white supremacy and enact racial equality. While some Republicans, like Thaddeus Stevens, believed in racial equality, the majority were motivated to grant voting rights for freed men in order to build a new powerful voting bloc. However, it is important to note that not all Republicans supported racial equality.
Throughout history, the Republican Party has undergone shifts in its stance on racial issues, making it difficult to fully generalize their representation. Some Republicans advocated for racial equality, while others supported policies that were racially discriminatory, such as the American Colonization Society's efforts to encourage migration of former slaves to Africa. Overall, the Republican Party was not a consistent champion of racial equality.