Jerseyrails, I was in almost your exact situation last year. Bought a house with a pool that was negelcted for years. Hired a pool guy to come out, he dumped in chlorine and algaecide at the same time (which is a waste) and told me to run the pump. When this obviously didn't work, I went to a pool store and got chemicals. Then I found the TFP forums and unfortunately didn't buy the test kit until about a week after posting. Then I took a co-worker's advice on some more magic chemicals to throw in, which Marty told me was a bad idea (sure was!)
The only thing that got that pool from green to clean was a SLAM. Just keeping that chlorine up and running that pump 24/7. I had a cartridge filter and I was cleaning cartridges every 12 hours for weeks. I know your said your wife thinks the kit was a bad idea, have her read my post from last year and show her what it did for me. And I know things seem frustrating now.....however, once you start to see that bottom in the shallow area you'll get a boost of confidence, you'll realize that this IS working. And once you see the bottom of the deep end, that feeling of accomplishment is indescribable.
Just keeping SLAMing! Don't give up. Add nothing more to that pool but chlorine, run the pump on circulate and you WILL see results.