Although there are a lot of people complaining about the signal reported by the S3, very few have actually reported having dropped data, and I have not seen one complaint about dropped calls. So far I haven't had any issues with signal, and it has been as good as my DX was in 3G areas.
As far as battery life goes, the I'm at 13.5 hours since coming off the charger and have 61% charge left. My DX would be about dead even with the fresh battery I put in it at the same usage level as I put the S3 through today. The S4 processor is living up to its billing as very efficient.
If I hadn't been pushed into the S3 to keep my unlimited plan, I probably would have waited for the new Moto to at least compare the 2. That being said, I don't regret going with the S3 at all.