I have a 66 Barracuda also.
In the beginning, nothing worked and I had the gauge cluster out at least 6 times already...not a lot of fun, but not as bad as changing a starter.
Does everything else work? Temp gauge runs off the voltage limiter that is, most inconveniently, inside the fuel gauge, You can still get the circuit board...might not be a bad idea to replace that while you're there.
Fear not, you can change the speedo out. I wouldn't try to adjust the mileage though, easy to break those.
Get yourself a LED bulb set while you're in there and change all bulbs.
How's the appearance on yours? I have no chrome left on mine. I picked a complete cluster a year ago and I'm going to use a Melotow ( something like that) "chrome" marking pen. I tried the spray chrome...they should just call it "grey paint" because that's all it is ( even if the spray can cap looks good). I used the Melotow pen on the radio bezel and the only mistake I made, was not really believing that it look good.
I may have a speedo or two in my attic. If you care to PM me, I'll check around tomorrow