Good example, but it wouldn't be as dramatic of a weight shift as going up stairs. It'd be more like if one person was standing on the street and the other person stepped up onto the curb. I don't think the difference in wheel size has a very noticeable effect on weight distribution. Some cars, like Zip Zaps, use the same size wheels all around and handle just fine.
It's true that more weight in the front could help steering, but if you lose a little there, the only thing that happens is the front tires slip a little and you get wider turns. The weight in the back is more important, since if the back wheels slip you're more likely to spin out.
If you're looking to improve performance and reduce slipping in the front and back, the best thing to do is increase the wheel width. You can do the pullback tire mod, or the
alloy wheel mod. Go post an order in the group buy.