Hi Phil,
Glad to hear a Hawthorn is going to be back on the road again!
Wheels and tyres is a very subjective topic and in my view the best improvement you would get is to have a serious look at some period alloys, such as Minilites or equivalents. I put a set of 5 1/2 on my my Bulldog some years back with, if memory serves me correctly, 165’s, and the difference was dramatic. So long as you have a telescopic front damper conversion as well. Pressure is right - go any wider and drop another psi.
Check with a good tyre dealer but I think if you go any wider on current width rims I doubt you will get ant cornering improvement, and they will probably look weird.