Crossovers are a tuning tool. Typically, they make about 1 to 1.5% more power than true straight pipe dual exhaust. That means if your car makes about 150 horsepower to the rear tires (stock 289 2V engine), you will gain a whopping 1-2 horsepower. Even on a very powerful engine, you are not going to notice any change in acceleration between "with" or "without".
It does, however, change the exhaust note. In my experience, it did not 'quiet things down'. It just changes the tone a little. A true dual setup has a very distinct burble, and when you stand behind the car, you can really hear the 'back and forth' between both pipes. At highway speeds, it has more of a ragged note, tending towards drone (depending on your muffler setup).
An H pipe preserves a lot of the character of a true dual system, yet smoothing the tone and causing less drone at highway speeds. It's the classic 'musclecar' sound.
X pipe smooths the burble effect even more, creating more of a modern exhaust sound. It is more reminiscent of a tuned exhaust; almost like an Indy car, though of course not high pitched. Just smoother than the duals or H-pipe setups.