Guys have you checked out the long threads in these forums concerning wifi problems?
The chances that you have a defective machine are fairly remote. 90% of wifi problems are down to router settings and interference/poor reception.
Lots of good advice has been given in those threads so sit down and have a good read.
I sincerely doubt it based upon the number of issues with these Ipads and the infamous Iphone 4. EVERYTHING (laptops, Droids, Macs, etc) I throw at my router connects...except for this Ipad.
I am VERY tired of hearing "it is your router." Apple does make faulty products.