Make the vinaigrette: Preheat the oven to 425 degrees F. Put the poblanos on a baking sheet and roast, turning, until browned, about 15 minutes. Transfer to a bowl, cover and let sit 5 minutes. Peel the poblanos with your fingers, then halve, seed and roughly chop.
Combine the roasted poblanos, vinegar, garlic, honey, canola oil and 2 tablespoons water in a blender; puree until smooth. Season with salt and pepper.
Make the queso fundido: Melt the butter in a medium saucepan over medium heat; add the flour and cook, whisking, 1 minute. Whisk in the milk and cook, whisking, until slightly thickened, about 5 minutes. Remove from the heat and stir in the monterey jack. Add 1/4 teaspoon salt, and pepper to taste. Turn on the broiler.
Scrape the cheese mixture into an 8-inch cast-iron pan and arrange the goat cheese rounds on top. Broil until golden brown in spots. Drizzle with the vinaigrette and sprinkle with the cilantro. Serve with tortilla chips.