You are right about the veggies being over planted... also... a common problem is that the beds are too narrow and too close together.
additionally... it looks like someone has been spreading wood ash on it...
I don't know about your area of california, but wood ash should not be used in basic or alkaline soils.
Wood ash is great in acid soils.
what I think I would do... is if there is some loose soil handy... is fill in those trenches.
raised beds are great in clay soils, but... I like them to be at least 3 foot wide... with at least 2 feet (preferably more) between them.
finally, is there even enough sunlight there to grow veggies?
I suggest just keeping your eyes on it, and don't expect much this year.
take the time to read about soil prep, and soil amending.