Anticipating Murphy's law is a necessary and integral part of good design and planning.
You have a very good point about shock to the tank with heavy semi-liquid weight in it.
I would guess that there would be a "happy medium" of how much of something could be kept in the tank.
I would not worry about the axle itself, as it would normally be supporting a lot of weight, but without suspension, it could have an effect on the wheel bearings first, and possibly also the axle or other parts.
Using a smaller gas-powered something may be an alternative, although that would be a fairly specialized thing, and might require significant extra expense.
There is another possible method of constructing it with an intact suspension. I may have a pic for that
Other wise, I will need to haul heavy stuff, including cement to the site anyway, so I would like the possibility of hauling and mixing it simultaneously.
Also, I would like to be able to gather materials for composting and mix them as well as I bring them to the site.
I was anticipating the problem of choosing a faster or slower speed to also find a happy medium of max speed possible for roads (Avg. of about 45-55 mph), and even a very slow speed will work for mixing around on site.
I found the alternate method where it uses a separate differential for mixing - let me know if this inspires any further options...
http://www.livinginpaper.com/mixers.htm In this, the guy simply remounted a drive shaft to the other differential, but then the question is - drive shaft from what/where?
- Oh, I get it... He's got a truck where either he has to re-mount the drive shaft every time he wants to move/drive it or use it to mix, or otherwise he's got a truck that goes nowhere does nothing except mix concrete with its engine and drive shaft I guess...