Organic lawn looks pretty bad

Ok all you experts, I need your advice and insight. I have moved from 100% chemical to 100% organic as of last year. The last chemical thing I did was crab grass preventer last spring. This year I plan to use a compost tea and compost itself as a top dress. I stopped bagging the grass and used Agway organic fertilizer. By fall it looked pretty good.

Last fall in an effort to inhibit snow mold from winter snow, I cut the grass really low (2") The problem is it was pretty high when I cut it and of course, I left nice clumps of cut grass laying in my lawn all winter. By this spring if had caked up and sunk down into the grass creating quite a bit of visible thatch. I raked as much of it out as I could but there are still some pretty bad areas.  Much of the grass that was under the thatch (which I raked up) is dead or near dead. I do have a lot of KBG so I hope it will fill back in over the summer. Should I dethacth the entire lawn and reseed? I have access to an overseeder. I have 100% sun all day and irrigation. I would use a KBG tall fescue mix if I did it.

Paul, before you start let me first say. Crab grass, and neat stuff like that is NOT acceptable in my lawn. I want turf grass and only turf grass No clover, dandy's etc.


Thanks in advance

"Paul, before you start let me first say. Crab grass, and neat stuff like that is NOT acceptable in my lawn. I want turf grass and only turf grass  No clover, dandy's etc."

Well, shucks. There go all my cool lectures on natural  lawns.  
Hank fades into the background muttering quietly to himself about such things as compost tea, corn gluten, hand weeding, gas engines on lawn equipment, water use, mutter mutter mutter

Here's the deal. 

You can have your monocrop perfect lawn.  In the end, the amount of time you spend will be about the same as the chem road, but I'm at least gonna save you a lot of money.  And it will be safe for you and your family.

I think the monocrop lawn is fugly, but I respect that you are goofy and want it that way anyway.  Maybe some day you'll come around. 

First, 95% of all weeds are gonna be eliminated by mowing high.  Now this works mostly on weed seeds.  A tall, thick turf blocks light from getting to the new baby weed seedling.  It also works a bit on existing weeds - but not as well. 

Watering just the right way helps to eliminate about 3% more.  Then pH, good fertilizing and the like - we'll get you 99% of the way there.  And then you manually pull the last 1%.

So, where are we now?  Are you mowing high? Doing the rest?  What is the current picture?