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Keep in mind that Ground Penetrating RADAR would be ineffective for detecting objects above ground while the tank is underground unless it somehow changed the frequency band of the radiation after it left the subsurface. Also, GPR is incredibly difficult to interpret without extensive training in geophysics (or at least, specifically, in the interpretation of GPR imaging) and is extremely limited when used in clay soils or soils contaminated with large amounts of salt. In addition, it's very different from regular RADAR because it's used as an imaging device, not a detection device (although it can be used to "detect" stationary objects, like unexploded ordnance or mines, because they would interrupt the image). It really would not be effective as a tool for detecting enemies and such from underground, you'd be better off using something like a multispectral sensor array, like you'd see on a starship.
As for the latter part of Nashoba's question, why not just have a bulldozer carriage behind the grinder to push the particulate matter out of the way? I imagine it would look something like the sherman tanks in WW2 that were equipped with giant spinning arrays of flails to destroy mines.
I added a scoup to the image so it can push all the junk out of the way, I also added a better scanner more suited for this line of work, and a Sonar device. Sounds travels through dirt, and the device can pick up sounds from the surface.
I would imagine the tank crews of this machine are highly specialized for this vehicle. They and their troop squads would no doubt be very attached to the individual tank. I envision them being very competitive towards Iske tank crews too.