One of the big problems with johnson grass is that even with spraying you'll think you have it all killed. But when you till, you have tons of jg seeds that have been dorment that will come back. I've had good luck with spraying hard in early spring when it first greens up. Then burn it off. Repeat. After the 2nd spraying, just keep spraying it every time it greens back up. Then follow up with a fall seeding of small seeds and notill them. Clovers, brassicas work well. Even a little winter wheat (yes, you'll lose some to birds but if done just before a good rain it will still make a good plot).
The more tilling you do, you'll stir the jg seeds back up. Only way I can control mine with thru hot spraying and no till seedings. Spraying it in fall won't do a lot of good as it is going dormant anyway.
After 4 or 5 years you'll have a lot less of the stuff. One other thing that works is pulling it up by hand :) That way you get the roots. Every time I get a hard rain I go pull until my hands hurt. But it helps. Every bit I pull gets put in the county landfill. I hate johnson grass!