Drain the soaked peas and place in a medium saucepan with plenty of water to cover. Add 2 teaspoons salt. Bring to a boil and cook for 1 hour, adding more water if necessary. Drain and let cool.
Finely dice the bell pepper and red onion. Mince the garlic and jalapeño.
Whisk together the Italian dressing, red wine vinegar, olive oil, and sugar in a medium bowl.
Combine the chopped vegetables, cooked conch peas, black beans, corn, cilantro, and dressing in a large bowl. Stir to combine. Serve right away at room temperature or refrigerate until ready to serve. Serve with tortilla chips.