The alliance, while nominally independent of the White House, may face some of the same questions confronting former Secretary of State Hillary Rodham Clinton as she begins another presidential campaign. Some of those donating to the alliance may have interests in government action, and skeptics may wonder whether they are trying to curry favor with the president by contributing.

“The Obama administration will have no role in deciding how donations are screened and what criteria they’ll set at the alliance for donor policies, because it’s an entirely separate entity,” Josh Earnest, the White House press secretary, told reporters on Air Force One en route to New York. But he added, “I’m confident that the members of the board are well aware of the president’s commitment to transparency.”

The alliance was in the works before the disturbances last week after the death of Freddie Gray, the black man who suffered fatal injuries while in police custody in Baltimore, but it reflected the evolution of Mr. Obama’s presidency. For him, in a way, it is coming back to issues that animated him as a young community organizer and politician. It was his own struggle with race and identity, captured in his youthful memoir, “Dreams From My Father,” that stood him apart from other presidential aspirants.

But that was a side of him that he kept largely to himself through the first years of his presidency while he focused on other priorities like turning the economy around, expanding government-subsidized health care and avoiding electoral land mines en route to re-election.

After securing a second term, Mr. Obama appeared more emboldened. Just a month after his 2013 inauguration, he talked passionately about opportunity and race with a group of teenage boys in Chicago, a moment aides point to as perhaps the first time he had spoken about these issues in such a personal, powerful way as president. A few months later, he publicly lamented the death of Trayvon Martin, a black Florida teenager, saying that “could have been me 35 years ago.”

That case, along with public ruptures of anger over police shootings in Ferguson and elsewhere, have pushed the issue of race and law enforcement onto the public agenda. Aides said they imagined that with his presidency in its final stages, Mr. Obama might be thinking more about what comes next and causes he can advance as a private citizen.