Alright guys, here are some better videos.
The first video is taken just as I started the bike. The engine is cold, choke lever all the way up, and the engine is idling at about 1,500 RPM. If you apply steady throttle, the RPMs climb gradually. Abrupt throttle results in the motor flattening out and almost shutting off. The exhaust system on there is wide open, no baffle or muffler, and remember that the carbs only have those stacks and no filter. I'm not sure that the PO paid any attention to the jets, so I think the stacks, open exhaust, and stock jets are not the greatest combo. You can hear the bike struggling at the end of the first video and in fact it shuts off just as I stopped recording.
In the second video, the engine is warm, choke lever is all the way down, and the engine idles at about 1,200 RPM. I lowered the idle to about 1,000 RPM, and it sounds like anything lower would cause the bike to just shut off. Motor is still flattening out at throttle, but not as bad as when the engine is cold.
Also, there is a crack in the exhaust. I attached a pic, you can see the crack right in front of the weld.
Video 1: Cold Idle
1978 Honda CB750K, cold idle, full chokeVideo 2: Warm Idle
1978 Honda CB750K, warm idle, no choke