Prepare a hot two-zone grill fire or preheat a gas grill on medium-high for 10 minutes, then turn one burner down to medium. Alternatively, preheat a grill pan or indoor grill over medium-high heat.
Lightly brush tomatoes, peppers, jalapeños, and onion with oil and grill, turning occasionally, until charred and tender, about 10 minutes. Transfer to a cutting board and let cool slightly. Cut vegetables into chunks, discarding jalapeño stems (and seeds, if desired), and transfer to a food processor.
To food processor add cilantro, lime juice, garlic, and salt and pulse until everything is finely chopped.
Transfer salsa to a bowl and serve with tortilla strips.