In the bowl of a food processor, place tomato, cucumber, and red pepper. Pulse until finely chopped, but not pureed. Transfer mixture to a large bowl.
Add all strawberries to food processor and pulse until finely chopped, but not pureed. Transfer strawberries to bowl with vegetable mixture and stir to combine.
Reserve one cup of mixture and return the rest of the mixture back into the food processor.
Add garlic and thyme to food processor and process mixture until pureed.
Return to large bowl and stir in olive oil, vinegar, salt, pepper, and reserved cup of strawberry/veggie mixture.
Cover bowl with plastic wrap and chill for 4-8 hours.
Stir in vegetable broth before serving. Garnish with sliced strawberries and thyme.