It is most definitely not a stock ITM shifter for a 67 (not a bad thing unless you are a purist) and it kind of looks like a Hurst shifter. I would at least try to install it and get the linkages lined up unless it is obvious the reverse lockout is shot. You can see the lineup mark on the bottom of the housing. The other option, albeit an expensive one, is to start fresh with a new Hurst shifter. You will likely need to buy new linkages as well, so you are going to be in it for at least 500 dollars. I personally would not dump any money into what you have based on the symptoms you are providing.