May I say, a light dose of vinegar in one of those hose-end sprayers (as Rick suggests above) is a much better application method than just pouring on 'a little vinegar'. Once you've taken some steps to mitigate the pH problems in the contaminated soil, I would get busy and top dress all along the area with bags and bags (or wheelbarrow loads) of compost. Most good nurseries sell it bagged, or at least will be able to tell you how to get it. This will re-introduce the soil's micro-organisms quickly as well as add back lost organic materials washed away by the chlorine.
Another fabulous soil amendment that really enhances the new growth of micro-organisms is alfalfa pellets. You can buy it in 50lb. bags as horse food. You can add that to the compost, don't use it exclusively or your neighbor will break out his bleach buckets again (it smells a bit like a stable if you leave it on the soil surface).
You only have a month or two before cold weather will be shutting down a lot of your active growth, so to see improvement in the soil and the stressed plants' condition I'd start collecting your supplies right away.
If you get the chance to speak to the neighbor again about cleaning his patio, advise him that about 1/4 cup of bleach in a 5 gallon bucket would have done the same job without nuking the surrounding neighborhood. Also ask him to rinse that patio off into his own yard, not yours? A power-washer and plain water is another, much better cleaning method.
