Final answer:
Democratic mainstays, or democratic socialists, focus on community organizing and political mobilization to empower individuals, advocating for societal changes through democratic processes. Establishment liberals, or center-left Democrats, adhere to democratic liberalism with an emphasis on a mix of free-market capitalism and government intervention for equality, operating within existing political systems.
Step-by-step explanation:
One difference between democratic mainstays and establishment liberals is their respective approaches to change within a democratic society. Democratic mainstays, which may also be referred to as democratic socialists, tend to focus on grassroots community organizing and political mobilization to marshal political influence and demand change. They prioritize equality, social justice, and typically look to advance their agenda through the democratic political process, often emphasizing the empowerment of individuals and marginalized groups.
In contrast, establishment liberals, often associated with the center-left ideologies of the Democratic Party, uphold the principles of democratic liberalism — a combination of classical liberalism's free-market capitalism and an acknowledgment of the need for government intervention to ensure equal treatment and political decision-making through elected representatives. They advocate for social safety nets and regulatory measures within a capitalist economic framework but tend to work within existing political structures rather than seeking radical transformation.