Reduce the moral nature of Picard slightly, but keep his strengths, such as his intuitiveness, wisdom, culture, discipline, etc. Make Picard do bad things, if it serves a greater good or purpose.
Picard wasn't my favorite character, only my third favorite captain. But his social consciousness was his defining characteristic, it separated him from the pack, turning him into another Sisko (second fav captain) would reduce the man, not enhance him.
Instead of making up a fictional native American tribe, have Chakotay be be from a real tribe, have him be Zapotec or Mayan and embracing that culture, or just have him be a Mestizos like the actor was.Show an episode with Chakotay's mom and tribe.