On Friday, about 20 demonstrators, including Harry Hughes from Arizona, had dinner together at an Olive Garden.

“I come to these events routinely because I think we have a message, and we also look for reaction from the public,” said Mr. Hughes, a member of a neo-Nazi group, adding that he often includes sightseeing on his trips.

Zaine Deal, a Traditional Workers Party member from Ohio who was making a quicker trip to the South, said he and 10 other men had driven to Tennessee on Friday for the weekend’s events and planned to leave on Sunday. They split two hotel rooms.

“We’re guys,” a helmet-wearing Mr. Deal, 18, said at the Shelbyville rally on Saturday. “We’re usually arguing about who gets to sleep on the floor.”

Mr. Deal said he planned to travel for more events to advance the same strains of ideology that apparently led the three men from Texas this month to Florida, where they remained jailed on bonds of at least $1 million each.

The Texas men had growing histories as activists who were willing to travel from their homes in the Houston area to support the alt-right, and all three attended the “Unite the Right” rally in Charlottesville, Va., that turned deadly when, according to the police, a white nationalist from Ohio drove his car into a crowd. One of the men arrested in Florida, William H. Fears, had also surfaced at other events, including at least three in Texas, according to news and social media accounts of the events.

A few hours before the shooting, Mr. Fears, who faces a charge of attempted homicide, spoke to The Gainesville Sun about what he depicted as the movement’s newfound aggression.