Several things to look at:
Air screws: 7-8 to 1-1/8 turn out on the 657 series carbs.
At 1.5 turns out they are fully as rich as they will possibly go, at 3/4 turn out they are as lean as they will get and still run.
If you notice a further difference in performance beyond these ranges, something else (like jet size or float levels) is not right. Float levels should be 25-26mm for smoothest performance, 24mm with perfect float valves and hotter plugs will raise the low-end torque a little bit.
When the low-end is very rich, as yours now is, it will stumble at the point where the slide is open too far for the engine speed at that mixture. Another thing on the K0-K2 that makes this happen is: the spark advancer springs are too soft (or even loose) and/or the shim washers underneath the points cam are gone, letting the cam wobble at low speed and then straighten up at about 1800 RPM. This sudden timing shift (backward) as it straightens up causes the stumble.
There should be NO MORE than 0.008" worst case clearance between the face of the advancer cam and the back of the big nut.
A third thing: if the timing of the spark (especially on the 2-3 points) jitters back-and-forth under a timing light, the long bolt under the spark advancer is bent. This can be straightened, but it got that way from pulling the big nut CCW with the sparkplugs installed. This should be no more than 0.002" out-of-round, or the spark advancer tilts, causing the cam to bind at low speeds, then unbind above about 2k RPM, causing a stumble, too.
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