I don't think I have any info that will help you, just the same info you've already acquired.
From what I've gathered, the new vertical motor is not compatible with the old controller. You will need to replace the controller also if you use the new motors.
I'm not sure if the 4820 is compatible with the old motors. I had a Texas dealer tell me they were not. The 4800 was compatible with the old motor but Lippert/Happijac seems to have discontinued them.
I tried to contact Happijac quite a few times last summer to get some straight information about the 4800s but got no response from them. I assume based on their silent business practices, happijac intends to force one to buy a complete jack system.
I have 4500s which I believe are rated the same as the 4600s you have. They lift my TC but I don't think they are strong enough to handle it. They make me nervous.
Back in June, I started to replace my 4500s (jacks only) with the 4820s but, since I couldn't determine what happijac component may be compatible with what and I didn't want to spend what a complete 4820 system cost, I ended up straightening and rebuilding my 4500 jack myself (for the time being).
I also found that the Reico Titan system handles about the same weight as the 4820 and was selling at that time for a bit less.
If all your jacks need is re-greasing, there is a good video out there at
http://www.rv.net/forum/index.cfm/fuseaction/thread/tid/22881036.cfm
. I've seen a few posts that say happijac will refurbish them for you.