Guessing the size of the weed sample as about a foot tall, this is not Johnson grass.
The plant shown does look similar, but Johnson grass is, according to Kansas Wildflower and Grasses, 2-7 feet tall.
The picture being asked about looks like a weed I have in my current garden it is low growing and less than a foot tall. I had Johnson grass in my Texas garden. It was tall, spread
quickly, and cut your hand when you tried to pull it. I am not a fan of either.
The wiki article does not address size, so:
http://kswildflower.org/grass_details.php?grassID=37
Crabgrass may be edible
https://en.wikipedia.org/wiki/Digitaria
Here is a search with pictures.
https://www.google.com/search?q=crab+grass&rlz=1C1NHXL_enUS732US732&source=lnms&tbm=isch&sa=X&ved=0ahUKEwir26CA08PVAhWhiVQKHTS9DccQ_AUICigB&biw=1707&bih=790
Eating the enemy may be your best revenge, but please do not use generalize this to other areas of your life. Ok, maybe a few.
Liz
As a society, we devalued farming as an occupation and encouraged the best students to leave the farm for 'better' jobs in the city. We emptied America's rural counties in order to supply workers to urban factories. Michael Pollan