Story highlights Jeb Bush said Donald Trump is trying to "create a grievous kind of culture"

Bush criticized Trump's handling of a Black Lives Matter protester and his remarks about Muslim Americans

Spartanburg, South Carolina (CNN) Jeb Bush on Tuesday accused businessman Donald Trump of trying to "create a grievous kind of culture," laying into the Republican presidential front-runner for his remarks about Black Lives Matter protesters and Muslim Americans.

"Our country is too good for this," Bush told reporters after a campaign stop in South Carolina.

"This whole idea of preying on people's deep-seated fears of what the future looks like is not going to work as a campaign tactic over the long haul," the former Florida governor said.

Asked about a Black Lives Matter protester being physically roughed up by crowd members while he was from a Trump event last week, Bush said that would never happen at one of his events.

"Of course I would try to stop it. If I could do it physically, I would," Bush said.