Dowding's plan was to withdraw 11 Group into the midlands to refit if it all got too much. That leaves at least 10 and 12 Group in the vicinity to deal with any deeper ranging German attacks. Once 11 Group withdrew to the north, further German bombing of airfields would have been useless, as they were no longer strategically useful targets. However, if any invasion took place everything would have been thrown into the mix, land, air, sea. And you'll still have to answer the question of how you're going to supply the troops that got across.
1. Your transports are crap and not seaworthy. 2. You have more barges than you have crew. 3. The enemy has a fleet hugely more powerful than yours. 4. Your air superiority, hardwon over 11 Group, disappears as it returns to action stronger than ever with 10 and 12 Groups joining in as well. 5. You are attacking the most heavily defended area in the world, with very strong defences in extreme depth. 6. Your heavy weapons can't get across the Channel to help overcome these defences.
So you're attacking with only light troops, without air superiority, with a chronically threatened supply line that cannot be repaired or defended if the enemy attack it, or if the weather turns bad. Good luck with your invasion.
http://www.flin.demon.co.uk/althist/seal1.htm
http://gateway.alternatehistory.com/essays/Sealion.html
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