That picture is extremely helpful!! Good job!!
So under cold conditions, vacuum is active at the rear of that canister, pulling a diaphragm and the rod inside, against a spring, thus pulling the lever.
That affects the exhaust flow so the engine heats up quicker.
When temp is correct, vacuum is stopped, and the spring in the canister pushed the diaphragm and rod back out.
This allows for a free flow of exhaust, something you want.
Since you have no smog equipment, you won't need the diaphragm.
So looking at the valve lever, move it to the right, or away from the front of the engine and tie it off with a wire.
Done and done!!