I worked at a Ducati dealer of several years. I don't recall a single one ever having a mechanical breakdown.
You hear some gripe about the desmo valves, but it's really a great system. You just have to learn a different way to adjust valves and be sure to replace the belt when you need to.
When the ST2 came out a guy bought one and put over 40K miles on the first year. He bought the FIRST bike we got of a totally new model (usually a no-no) and it was flawless.
Nothing sounds better or has more whip-appeal than a Duc.
I'm a big fan.
I do recall one guy brought his M900 (Monster) in for service because it "smoked a lot". Turns out, he was riding wheelies for very long distances and oil from the crank breather flowed up into the airbox, got sucked into the carb and blew a huge smokescreen out the back every time. Pretty damn funny, since he demonstrated his James Bond move up and down the road in front of the shop.