The way I figure it raking the car by reducing the wheel size up front will not impact the weight distribution much.
The weight distribution of a stock supra is about 54 / 46, the wheel base is 102.2 inches and the height of the center of gravity is somewhere around 12 inches above the hub. Then the stock center of gravity is 0.46 * 102.2 inches = 47.0 inches behind the front hub and 12 inches above it. Therefore the weight distribution of the 3,500 lb car is (102.2-47/102.2) * 3500 lb = 1,890.4 lbs on the front axle and 3,500 lb – 1,890.4 lb = 1,609.6 lbs on the rear axle.
Using the same tire profile but reducing the front wheel size by 1 inch essentially lowers the front end by 0.5 inch and moves the center of gravity 0.5*12/102.2 = 0.059 inches forward. Thus the new center of gravity is now located at a distance of 47-0.059 = 46.94 inches behind the front hub. The new weight distribution is (102.2-46.94/102.2) * 3500 lb = 1,892.4 lb front and 3,500 lb – 1,892.4 = 1607.6 lb rear. So the staggered wheels shifted 2 lbs to the front and the weight distribution is now 54.1 / 45.9.
The lowering of the center of gravity would seem to have a greater impact than the movement forward. In the case described above the center of gravity is reduced 0.5*(102.2-47) /102.2 = 0.27 inches. This is relative to the ground not the hub, which is unchanged. Typically, I would think that a lower car would handle better than a higher one due to reduced overturning moments. But perhaps the improvement may be biased towards the front or rear and overall this may make things worse. But I really don't have a clue about suspensions and leave this to someone much wiser than me to explain.