Here is what was pushed in...
I then soaked and wadded up an old sock to finish up the cleaning. I did this several times until I saw no more gunk in there. Here is what they looked like afterward...
Then I ordered a new set of seals from Superior Axle. I checked locally but the prices were outrageous compared to Superior. I would have supported the local stores, but come on, I'm on a budget. There are two different types of seals. One has the "funnel" on the outside which helps guide the axle shaft in. I wish I would have gotten these, since they are also easier to remove, but I was somehow "tricked" by Superior. On their website, they pictured the Spicer ones with the "funnel", but they sent BRG seals. The part number is DS36352. They were only $6.25 each compared to the BRG seals at Napa for $18.99 each. Superior has since changed the picture on their website. Maybe an honest mistake, and in the end no big deal, but still, I like to know what I'm getting before I pay for it.
In order to install them, you are going to have to tap them very carefully with a small hammer because the seal and bearing press will not fit inside the diff housing. Here they are installed...
I also sprayed some Rustoleum into the axle tubes to cover up the exposed inner tubes in the hopes that this would prevent any future surface rust.