Steering wheel/front vibrate when braking at highway speed

Those shoes gotta go - period. The drums are nowhere near as dirty/rusty as I had expected but they may not take a "turning".. I don't know what the spec is and it's about impossible to tell by a pic on the internet, but they appear a bit thin already and if you go too thin, they will fail - a competent brake shop will tell you. Again, it's hard to tell, but I suspect they got too hot and are possibly warped out a bit - if you're going to drive a 40+ year old car that hard - you may want to seriously consider upgrading to disc brakes.