RE: Update #4, Mowed Will it strengthen the plants?
You'll be glad you mowed.
Mow once more at Labor Day - with the deck set at 8"
Next year the clover will be dominant - still mow at least 2x/year.
What you are really doing is stopping the Weeds from seeding back, and promoting canopy growth for the clover at the same time. The mowing will work great until grasses become well established - (3-4 years).
Looks Good
FH