Firstly, remember that in your scenario the weight is still applied over the existing base. As buildings are designed to be stable objects this will only result in your tilt if the soil below is undermined during the process or you have a partial collapse of the structure pushing enough of the weight beyond the base perimeter but still above the base.
A better example would be to construct a heavy-duty cantilever on the side you wish to tilt. You need to start loading that. Now remember that the foundation alone in the building is about as heavy as the portion of the building above ground (hence why they are so stable), so you are going to need close to a 100 tons even for a small building.
And let’s not forget that it needs to be a steel or concrete building constructed of moment frames (like a tall office building or apartment tower) otherwise you’re just pulling the wall off the side of the building.
The real problem with this is that buildings are actively designed to resist exactly this kind of scenario. In fact, any building that was placed in a scenario that suspected that issue would be designed so that half the weight of the building could be hung on one side without issue of tilting just as standard practice.
MKDesign 