Ok, here are some test results taken with K-5 + Sigma APO EX DG 100-300/4 +Sigma APO EX DG 2x TC on tripod in pretty optimal conditions (very good morning light from behind & no wind.) The first of each pair has been resized to a width of 1000p, the second is a crop to 1000p. No other processing.
[180mm (x2=360mm) 1/640s, f5.6, ISO 640]
[300mm (x2=600mm) 1/640s, f5.6, ISO 200]
[300mm (x2=600mm) 1/640s, f5.6, ISO 250]
With both birds AF was quick and sure but when I tried to focus on the ball away from the "seam", it couldn't find focus (not enough contrast in those little Xes.)
This is a long combination, btw, so a tripod is pretty essential.
Bottom line: it's not what I'd choose for a birding expedition but if I'm traveling someplace where there might be interesting birds (among other subjects) this would be a good, versatile set-up.