Haha, it often is!
There definitely is a backwards mentality when it comes to breakfast - many of the foods that people eat for breakfast are loaded with carbs (bagels, toast, cereal, etc.). I'm a huge fan of these breakfast foods as well, but it can be better to eat them later in the day when the sugar crash won't affect you as much. The coffee can definitely stave off your "tiredness" but I don't believe it negates the insulin spike which will still occur after eating something carb-dense.
Another reason why it can be hard to eat less carbs in the morning is that they're so convenient for those who have to go straight to work, like yourself. I usually keep the fridge stocked with a few hard-boiled eggs for when I'm in a hurry in the morning!