Final answer:
The Moral Majority and the Heritage Foundation both supported Republican politicians by mobilizing conservative voter bases and influencing conservative agendas in American politics.
Step-by-step explanation:
A shared feature of the work of the Moral Majority and the Heritage Foundation is their support for Republican politicians. Both organizations are part of the political and social movement that influenced the rise of conservative leaders and policies in the United States during the 1970s and 1980s. The Heritage Foundation focused on providing policy recommendations and ideological support to conservative candidates, which encouraged the election and governance of Ronald Reagan. Similarly, the Moral Majority mobilized evangelical Christians to vote and support Republican politicians, advocating for a return to traditional family values and influencing policy matters like abortion, school prayer, and conservative social reforms.