Just for future referance, best not to mow clover more than a third of its growth. Better to mow few months spaced than one aggressive time. In addition, Aug for me is a terrible month to mow clover. Typically stressed with heat and drought so it respond poorly. I usually mow as late as June, then its on its own till next spring.
Personally, I hate starting over. I would overseed in March a WR,RC, WC mix then plan to attack grasses in -may/june.. The WR will give you some weed and grass control and clovers should get a grasp. Spread fert with no N such as 0-20-20 and maybe again in fall depending on you soil tests. Good luck, and remember, some grasses and weeds is not always a bad thing in foodplots as long as they don't get out of control Many weeds can be controlled just with timely mowing. Grass chemical tx depends on type of grasses with Cleth being the most common and cheapest chemical to use on most other than sedge.