Yes, I've been imagining this too since 25 years ago now, also thinking how it would not need turning wheels, just power differential like paddling a boat. Not sure if this part can be done though or if it would break under the pressure... I should have studied engineering to find out.
No turning wheels means no parallel parking. Zero turning radius would be cool, but even with complete differential steering that would scrub the tires a bit much. I don't think you could practically remove steering tires entirely. I think you're still stuck with a rack and pinion, ball joints, tie rods, strut bearings, etc so even with AWD with independent electric motors on all wheels differential steering isn't really that useful. On a performance car, it'll help with handling around turns. I don't see that becoming commonplace on average cars because of the added cost.
This is how tanks steer! And also (to some extent) why using them on roads ruins the roads. If you tried in a traditionally wheeled car then all of the drive shafts would snap though!
I used to think that the treads actually ruin the road because it changes to contact surface on which you apply the power differential from a line (on a tire) to a rectangle(the tread), i.e. it tries to rotate a flat surface which can't be rotated, so somethings got to give. Arguably a tire wouldn't have the same problem.
No steering wheel...that is an interesting idea, I don't think pressure would be a problem, but sensitivity might be.
Chinese lsevs do exactly that. One banal BLDC for each wheel, but more often just two