Will the engine get damaged when timing belt breaks on a 04 dodge stratus coupe?

On the Stratus V6 which is an interference engine it will damage the engine if it breaks. On the 4 cylinder which is not an interference engine, no engine damage will be done. However it would stop the engine from running. And, if this happened at a bad time, and you got in a wreck, it could not only damage the engine, it could damage the whole car and you. The belt can break with no warning. Replace it according to the recommendation of Dodge.