The cracked engines reported on Dreamliners in 2012 were likely isolated incidents, Ordonez says. As for random window cracks and fuel and oil leaks, Boeing can solve these kinds of problems without much difficulty, he says.

Worldwide, Dreamliners fly 150 flights daily, Boeing said last week. In a statement released Wednesday, Boeing reacted to the FAA grounding.

"We are confident the 787 is safe and we stand behind its overall integrity. We will be taking every necessary step in the coming days to assure our customers and the traveling public of the 787's safety and to return the airplanes to service," said Boeing Chairman, President and CEO Jim McNerney.

"I still would get on the airplane," Hiatt says. It may be the most watched airliner in the world now. "That airplane is being looked at so closely both before and after every flight that it borders on the ridiculous."

"Now, I guess people should be a little concerned," says Ordonez. But bottom line, he says, "I'd fly it."