The next to review the ALPINA B7 is Car and Driver, a US magazine. See this excerpt as they talk about the quality of the ride, aboard this vehicle.
“Although standing-start acceleration is almost identical to that of the previous B7—0 to 60 mph in 4.3 seconds, the quarter-mile in 12.8 seconds at 113 mph—the new car is a wink quicker up to 120 mph once rolling. And in any case, these are formidable numbers for a big sedan weighing 4710 pounds.
Similar to before, this short-wheelbase B7 is almost a second quicker than the Âstandard 750i to 60 and through the quarter-mile. It’s also a little quicker than the even-heavier (and even more expensive) naturally aspirated Mercedes S63 AMG. But perhaps the B7’s most arresting attribute is how Âquietly the car goes about its business. It’s far too easy to find oneself approaching Âtriple-digit speeds, whereupon “arresting†can become more than a figure of speech.
All of the foregoing didn’t show up particularly well on the skidpad—0.85  g  versus 0.91 g for the previous car with the same tires—but on public roads, it produces a seductive blend of willing turn-in, limited body roll, and confidence-inspiring grip. Just as impressive, it delivers its higher order of athleticism with essentially no penalty in ride quality. Very BMW—something that also applies to the braking: 162 feet from 70 mph, the same as the previous B7.â€
Source: Car and Driver