I misread your post. Thinking it was about replacing the lower cowling mounted trim and tilt switch. Photo has the trim and tilt switch centered. Subject of this thread is about the trim and tilt switch.
If a man has a Mercury 7.5 that has points, and a 1975 Mercury 7.5 does not use points, the conclusion might be that the man does not have a 1975 Mercury 7.5.
But he might still need points.
The 3.3 liter F250 has a single electronic throttle valve. No idle air control valve is used.
The electronic throttle valve has two throttle position sensors that are part of it.
What is the model of the motor? They are not all the same.
I suspect you are talking about a bracket. The bracket that holds the switch in place. Not understanding how you installed a new switch without having removed the bracket.
Then somebody seems to have attempted a repair previously. Any idea how far the rod was inserted? Too far and it could mess the passageway up.
Can you drill the rod so as to get an extraction screw on it?
The BTR has an electric starter motor. The BNH has pull start.
You mentioned pulling the rope when doing your compression test so I assumed (yes, I know) that you don't have electric start.
Are you wanting your model to have low compression?