Sharpton traveled to Baltimore after Trump called the city a “rat and rodent infested mess.”
Three of the women were born in the U.S.
Johnson considers himself a centrist and a Democrat.
“We have momentum,” her campaign says.
The Democratic presidential contenders squared off Thursday night.
The first debate aired Wednesday night.
Sharpton talked presidential politics outside the BET Awards.
The match-up will run over two nights, June 26 and 27.
He was asked about the case by a White House reporter.
“Thank you for a job well done,” Trump tweeted Thursday.