I'm in Augusta, so I have seen these problems, and here is how I deal with them:
1) Kudzu is the best animal fodder out there. If you don't have goats,
rabbits, guinea pigs, horses,
cattle, or
chickens, get some. With enough livestock grazing it, kudzu can be kept under control.
2) Make your place friendly to insectivores:
chickens, lizards, toads, songbirds, etc. They will take care of most infestations. I had 3 tomato hornworms this year. They made a nice chicken snack.
3) There are two ways of dealing with squash bugs: (1) check every leaf of every plant every day and remove the egg masses or (2) the way that takes less work, grow varieties that squash bugs don't like. Butternut is one that I have had success with.
4) Lime is useless as a soil amendment. But if you see some construction site that wants to dump a load of scrap drywall, take that. After a few rains, the paper rots off and the gypsum is a decent calcium amendment for the soil. What's better is wood chips. Next winter, when the local power company is doing their line maintenance, see if you can get them to dump loads of wood chips on your
land. To fix this sidewalk that our thin topsoil sits on you need some
MAJOR addition of organic matter. Not just a sprinkling here or there, or a couple inches of mulch, I mean keep backing up the dump trucks and unloading them until the chips are a foot thick everywhere. I'm getting some nice squash and gourds this year growing on wood chips that have been decomposing for two years.
5) If you don't have one, get a sturdy lawnmower. One that can turn a thicket of Bradford pear sproutlings into mulch in one pass. Let the livestock munch on what you've bagged up, and then recycle their manure.
6) Since September is right around the corner, you might try broadcast seeding some tillage radish. That will punch some holes in the clay, and they are pretty tasty to have during the winter.
This takes a while, but when you've given the soil organic matter its first
boost, worms can return and start to take on the clay. If you are not seeing a lot of worm castings (usually in the cooler months) as you walk the garden, then there is nothing fighting compaction except the moles (and being lazy, they usually stay in the topsoil, so they are not neatly as helpful as worms).