If you are idling at 1000 or more RPM, the idle mixture screws will have minimal to no effect on it running, because you are getting air and fuel through the transfer and main power circuits. The idle mixture screws adjust the fuel allowed to be pulled from under the closed, or mostly closed throttle blades. Air comes from the idle air bleeds that are part of the booster venturi assembly. There is not a separate air screw, but you have two idle mixture screws, one for each bore of your carburetor. The air is pre-determined by the air bleeds and whatever can be drawn through a slightly cracked open throttle plate. You are adjusting the fuel to match that air at the correct ratios. In order to do that, you have to first be idling at or near the correct RPM to be using the idle circuit exclusively. You may have a separate vacuum leak, which can also cause the idle screws to have no effect, but your open throttle blades are a huge vacuum leak in their own right which can be reduced by closing them via the curb-idle screw.
As for vacuum, you want to measure the manifold vacuum. What you would be measuring at the vacuum advance unit on the distributor is not that. Manifold vacuum is the negative pressure being built up in the engine as the pistons are drawn downward through their intake strokes, effectively sucking air inward. This can be impacted by your idle speed and efficiency, so it is a good way to visually observe the ideal setting of your idle mixture. Like any vacuum, a seal is required to keep it from venting to the outside, so the throttle position dictates the potential for vacuum heavily. A closed throttle and relatively high RPM are the right conditions for high vacuum. This would happen at idle (though RPM are generally low), and also at cruise/coast conditions where the engine is spinning quickly, but your foot is off the gas, or mostly so. The condition of your valves can also impact vacuum potential, as well as your camshaft’s grind. For this conversation, don’t worry about that. Just understand that the vacuum in the engine’s intake manifold is what you want to measure to assess whether a leak is suspected, and to gauge your effects on idle quality through tuning efforts.
Ford designed the cars from the mid 60s to operate with a ported vacuum advance. The vacuum advance is the unit on your distributor that has the steel line running to it. Measuring vacuum here is not of much use, since it only sees vacuum when the throttle blades are opened. The “port” for the vacuum advance sits above the throttle blades in your carburetor, so when idling with the throttle blades closed, no vacuum is pulling air through that port. Imagine the analogy of sucking through a drinking straw with your finger on the bottom. Inside the straw, a negative pressure, or vacuum, is present. This would represent the intake manifold where suction is effectively being applied. Your finger would be the throttle blades. If you poked a pinhole in the side of the straw, a small amount of air would be drawn in from that spot, but nothing on the other side of your finger would feel suction. In the analogy, the small hole would be your idle air/fuel allowed to enter beneath the closed throttle blades. Now, if you remove your finger, air from the end of the straw is being pulled through unrestricted, and a negative pressure would be felt around the surrounding area. Imagine a second, smaller straw being held just beyond the end of the straw. When you move your finger, the draw of air would create a vacuum for a time in that straw as well, this would be the ported vacuum source in this scenario. All this is to say that you should not measure vacuum here, it really doesn’t tell you anything of substance.
Look instead at the rear of your intake manifold. You should see a brass fitting that supplies vacuum to your transmission’s modulator valve diaphragm. This is a good place to measure manifold vacuum. If you have one of the early steel lines going to the transmission, another spot is the PCV valve hose nipple on the carburetor spacer to the rear. A stock, or near-stock V8 should pull around 17-21” of mercury at idle. You have to close the throttle first—this may come close to stalling the engine—then smooth it out with the idle mixture screws and adjust your base timing and dwell at this lowered RPM. Adjust the idle mixture at around 500RPM while in drive, or around 600 in park. Ideally, adjust while under a load, as this is how the car will be performing when actually driving. This is more important than what it does when sitting in park, though these are closely related. Remember that idle speed affects timing and vice-versa, so you really have to adjust both of these metrics together to get it right.