Instrument lights workaround?

65 Barracuda. Have the windshield out, so I have access to the back of the headlight switch and the fuse box. Currently I have constant battery power and switched power when I pull on the headlights. The problem is that the tan wire feeding the instrument cluster fuse doesn't show power at all. My assumption is that power runs through the dimmer potentiometer. The only thing that does for me is to dim the instrument lights right? Could I just tap into my switched headlight wire and provide power to the instrument lights, just without the dimming capability? I'm pretty sure the dimmer circuit inside the switch is my problem, maybe a bad contact internally or something. I would prefer things worked correctly of course. What is the availability of a new headlight switch? Part #?

Absolutely that would work fine.
If your car park lights are on with the headlights on you could tie in there if you want.
Maybe do it as less intrusive as possible till you get your new switch.