At staring and saying nothing a barefaced man, unspectacled, starts scratch.
Start scratch is a sporting term derived from the 'scratch' or mark on the ground from which competitors in a race start. It is employed in races where competitors are assigned 'handicaps' based on their inherent abilities to assure that everyone has a roughly equal chance of winning. The competitor who starts scratch has no assigned handicap.
However: the significance of starting scratch varies, depending on the sort of handicap assigned. In golf, for instance, where the lowest score wins, your handicap is a number you subtract from your score, so a "scratch" golfer—handicap=0—is among the best in the match. In horseracing, however, where the handicap is an extra weight the horse must carry, a horse with no handicap is among the worst in the race.
What Cuss means here is that his opponent, whose face and head are covered with bandages and whose eyes are masked by dark goggles, has a significant advantage at staring and saying nothing, while Cuss, barefaced and unspectacled, has no such advantage. His opponent can read Cuss' emotional state from his eyes and face, but Cuss cannot read his opponent.