No No No NO No No NO No.
I'm the Ducati guy. Also a vegetarian. Also a professor of philosophy. Also a registered MMA fighter in 7 states. I don't want to get into ethics of the meat industry but I'd love to talk about bikes.
If you want to get a nice solid started bike pick from any of the 650's out there (assuming you want a sports bike and not a chopper). You will outgrow a 250 in under a month. You should however, and I assume you do, have some experience riding, have a license, and have taken a few courses on emergency this that and the other thing.
Don't pay a lot for your first bike, you're going to drop it, and you're probably going to get hurt. I took my first, AND second bike down -- the second one went down at 75kph into a clock tower, still have the rash from that (oh, and dude, wear a helmet and full gear, seriously - its hot and lame sometimes but it'll save yer life). You can grab a used Japanese 650 for under 5 grand, just make sure the frame is straight and you're set. Milage is generally completely irrelevant. In regards to 650's - my list goes something like this, from best to worse:
Suzuki GSX-r
Kawasaki ZR600
Yamaha R6
Honda whatever.
The power/torque curve on the gixxer is the best hands down, while you will get a bit better stock suspension and handling off of the kawi. Remember that even a 650 will take you from 0-60 in under 3.5 seconds. Be safe and ride hard man. If you've got any more questions I have literally owned EVERY sports bike produced in the last 10 years, just holler.