Klotho and Lina
Those aren't Klingon vessels. Appearing as strings of orange dots, the brightest sets of dots belong to asteroids Klotho and Lina. Both orbit out in the main asteroid belt between Mars and Jupiter, while smaller, more distant asteroids can also be seen passing through the image.
NASA's Jet Propulsion Laboratory in Pasadena, California, manages and operates the NEOWISE mission for NASA's Planetary Defense Coordination Office within the Science Mission Directorate in Washington. The principal investigator, Amy Mainzer, is at the University of Arizona. The Space Dynamics Laboratory in Logan, Utah, built the science instrument. Ball Aerospace & Technologies Corp. of Boulder, Colorado, built the spacecraft. Science data processing takes place at IPAC at Caltech in Pasadena. Caltech manages JPL for NASA.