Choose a large wooden board, tray, or platter. Leave enough space for the red, white, and blue sections to stand out.
Place the dip bowl in the center of the board or slightly off to one side. This gives the board an anchor and makes it easier to arrange the other ingredients around it.
Add the blueberries to one corner or one side of the board to create the blue section. Keep them in a tight cluster so the color looks intentional.
Add the blue tortilla chips near the blueberries or tuck them around the dip bowl. Add them closer to serving time if you want them to stay extra crisp.
Arrange the salami in a loose stripe, curved line, or fanned section. Roll or fold the slices so they are easy for guests to grab.
Add the cherry tomatoes in small clusters around the board. Pat them dry first so they do not make nearby crackers soft.
Add the cheese cubes in small piles across the board. Use them to fill empty spaces and balance the red, white, and blue colors.
Cut the Swiss cheese slices into star shapes and place them on top or in a visible white section. Cold cheese is easier to cut cleanly, so keep it chilled until you are ready to shape it.
Fill in the remaining spaces with crackers. Keep crackers away from wet ingredients like dip, tomatoes, and berries as much as possible.
Add a few sprigs of parsley or dill, if using. Finish with optional flag picks or other patriotic touches, then serve.