Who Will Replace Jesse Jackson And Al Sharpton?

No one:

[T]here are not, and never have been, any new versions of the old Jesse and Al. Not a single young preacher or politician has even started to acquire national influence by taking a page from their old playbooks. The times have changed. If the more pessimistic strains in black America can be slow to fully acknowledge progress, we can take heart from the fact that Al Sharpton will be 60 next year, and a young version of his young self is now inconceivable as a national figure.