You're showing your ignorance. The reference was to the US DOJ's "Honors Program", not to Coulter's graduation with honors. The "Honors Program" is the way new attorneys get entry-level jobs with the Justice Department. It is very competitive.
And being a clerk for a judge generally involves doing a little research, making coffee, and listening to his war stories. Ask yourself how long she worked fo the Justice Department, and what her workload consisted of.
Again, you are betraying your ignorance. Law clerks to federal judges often draft the court's opinions. Like the DOJ Honors program, federal clerkships are highly coveted positions that only the best graduates can obtain.