As a bike cop, my opinion is that nothing will replace bikes. Those T-3's look really goofy, and I don't think I'd wanna ride one, but I see them being good for special events held outdoors and such. Nothing beats the efficiency of a bike though. While we do have plenty of weight on us, you get used to it and don't really notice it. Even though we're on bikes all day, we're really not going fast most of the time, if we're just patrolling we have no destination, it's easier to just slow down and pay attention to what's going on. Since we don't go fast during regular patrol, there's plenty of energy left to go all out chasing people. Nobody has ever gotten away from me on foot, and if a car runs, there's still patrol cars around to pickup the chase. Having all that weight on all the time just makes you a stronger rider to compensate, really, how many other people get to train for 8 or 9 hours a day all week. You just can't replace a bike with a car, and you can't replace a car with a bike, or a T-3.
The point is, police bikes are a great tool in the right context, and I'm sure the T-3's would be too, but they can't replace bikes, and I don't think any departments are trying to replace bikes with them, it's a supplement. That being said they do look goofy and I'll keep my bike thank you very much.