In the Model Info dialog, Units panel, there is a Angle Units section that allows toggling angle snapping, setting angle precision, and choosing snap angle degrees.
If I zoom out a little, the Drawing2 model behaves very well.
Your Drawing2 model is drawn with the blue axis pointing down.
It also have a lot of unneeded diagonals that can be deleted. Maybe you imported it from somewhere and forgot to check the Merge coplanar faces in the Options.
Many of the other diagonals can be smoothed for a better rendering like in Drawing1.
Redoing the whole object with SketchUp would reduce considerably the number of edges to smooth.