A classic Caesar salad, the Caesar Cardini original form, had no mustard. You might go that route. Just for example, here's a Julia Child recipe. http://www.epicurious.com/recipes/food/views/Julias-Caesar-Salad-105469 She actually ate at Caesar Cardini's.
If you think you'd like to learn a classic vinaigrette, I'd suggest embracing Dijon. Most of the substitutions are too sweet.
If your problem is that you don't like mustard, then just skip it. But if your problem is not having dijon, I would substitute any other non-yellow mustard, as the main purpose of mustard in a salad dressing is not for flavor, but for emulsion.
What Pat said. It only calls for 1 tsp, so skipping would be fine. You could add a tsp of mustard powder if you have some for that certain "something" that mustard has.
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If you think you'd like to learn a classic vinaigrette, I'd suggest embracing Dijon. Most of the substitutions are too sweet.