In a small bowl, cover the red onion with cold water. Set aside for 10 minutes. Strain and dry the onions on a cloth towel.
In a medium bowl, combine the schmear, red onion, carrot, celery, bell pepper, chives, dill, parsley, garlic, and pepper using a stiff spatula. Stir until thoroughly combined.
Pack the veggie cheese into a ramekin or two, cover, and chill until ready to serve. It will keep for 1 week in the refrigerator.