Heat the olive oil in a large soup pot. Add the onions, carrots, and garlic. Cook for 5 minutes or until the veggies are beginning to brown.
Add 1/4 cup broth to the pot and stir scraping up any brown bits. Cook for a minute or so to reduce slightly.
Add 3-1/2 cups of stock, the allspice, and chipotle powder to the pot and bring to a boil. Reduce heat to a simmer, cover and cook for 10 - 15 minutes.
While the stock simmers, blanch the broccoli. Dump the broccoli into a pot of salted boiling water and cook for 2 minutes. Immediately remove the broccoli and submerge in a bowl of ice water. Drain well and set aside.
Once the stock mixture starts smelling wonderful, add the evaporated milk and the buttermilk. Shake together the remaining 1/4 cup of stock and the flour. Slowly pour it into the soup stirring constantly. Continue to stir until it thickens.
Add the broccoli, corn, Worcestershire Sauce and Chipotle Tabasco. Cook for several minutes.
Over low heat, stir in the cheese, continuing to stir until it is melted. Give it a taste and adjust any seasoning. Serve.
Heat the olive oil in a large soup pot. Add the leeks carrots, and garlic tossing to coat them with the oil. Add a pinch of salt and cover the pot. Allow the vegetables to sweat for 5 - 7 minutes.
Add the Ham Broth and the thyme leaves to the pot. Cover and bring to a boil. Reduce the heat to low and simmer covered for 20 - 30 minutes, stirring occasionally.
At this point you can remove the thyme sprigs as the leaves have probably fallen off and the sprigs have done their flavor magic. Add the sweet potatoes and corn and simmer 20 minutes more or until the sweet potatoes are tender.
While the soup is simmering, blanch the snow peas and haricot vert. Put them in boiling water briefly, then remove them to a bowl of ice water. When they are cold drain them well. This will leave them tender crisp and bright green. Set them aside.
When the soup is done, taste it and add salt and pepper as needed. Place a few haricot vert and snow peas into each soup bowl. Ladle the soup into the bowls and serve.