Originally posted by Class A A better lens trumps a better camera anytime.
If you can get the Sigma 70-200/2.8 for a good price, I'd strongly consider it.
You can pair it with a 1.4x teleconverter to get a 98-280mm lens.
There is one from Sigma that fits perfectly, but other very good TCs should do the job as well. Just don't take a cheap one, as it will degrade the image quality too much.
I'm not a birder but I'd say that you don't need a super fast AF for these. The Nikon AF is better when it comes to moving subjects, but it will shine with sports, running kids, etc. For birds, the K-5 II AF will be more than fine. Birders can correct me if I'm wrong (but you've already had someone tell you that MF is often necessary).
Unless you are really need to save every penny, I wouldn't go for an old model like the K10D. The sensor in the K-5 II is significantly better and will allow you to shoot at high ISO settings, something that can be important when the light isn't that good and you need the shutter speed to keep the subject sharp.
I'd rather pay more for a camera now and then keep that as long as you can.
I am not a birder, but I do have the Sigma 70-200 f2.8 and the matching 1.4x tele-converter as Class A describes above.
I looked a long time for a Sigma 100-300 f4, which has a great reputation, but it is pretty hard to find in Pentax mount and therefore can be pricey (and fast disappearing when listed for sale!). As far as I can tell, the Sigma 70-200 f2.8 + matching Sigma 1.4x TC is very close to the 100-300 f4 in IQ. In addition, the Sigma 70-200 f2.8 is a fast focusing lens (although it is screwdrive AF).
I think a K5II and the Sigma 70-200 f2.8 would be a good start, and you can add the TC later as they come up fairly regularly here and on Ebay.
The Nikon 7100 seems to be a good camera, and by all accounts would track moving objects better than the K5II, but I am not sure that the 7100 Toshiba sensor is as good as the Sony sensor found in the Nikon D7000 and Pentax K5, even when down-sampled to 16mp. There have been many reports of banding in the shadows with the D7100, which may or may not matter for your shooting, but it is something to consider.
Ray