No worries about the double teaming. It's all great debate!
I thought I'd been clear on Batty and Le Tissier but I will clarify again just to be crystal.
Where did I mention that he will be playing a proper central midfield role a la Keane? This is my formation:
.. and I have repeatedly said he will be the shield in front of the back 4. Danny reinforced that tactic in his comment.
I did reject the notion that he would only be focused on Bergkamp because as you have set out, Scholes and Keane will attack our box as well. But I don't think I have suggested he will be playing a Keane role anywhere.
Batty is the defensive midfielder. He is the shield. Of course, he is capable on the ball and will pass simply and effectively when we regain possession but he won't be crossing the halfway line too often.
As a DM, he can comfortably slip back as cover when a wingback is moving forward with the ball. This is how effective defensive midfielders work all the time.
In the middle of the park we have Modric and Beckham in his withdrawn role. They will not top Keane and Schole by passing it back and forth through the midfield but we won't be doing that. Deliberately because Keane and Scholes are so good.
We will look to move the ball to Bale, to Le Tissier or to Van Persie. We will be fast and direct and we will counter. When the opportunity is there, we will use our fullbacks to good effect.
When you have the ball, you will be effective through the midfield but then you will reach our defensive line. Occasionally, one of our fullbacks may be out of place but Beckham and particularly Batty won't be too far away. Of course you will get into good positions because you have excellent players but they will also be facing an exceptional defence.
When we get the ball quickly to Bale, who is going to stop him making ground into your half? Are you going to risk pushing Ivanovic up that high? When we win the ball off Keane or Scholes in our half and get it to Le Tissier in space 10-15 yards outside your penalty area, who is going to counter him? Are you going to pull a centre back out and risk leaving Van Persie one on one? Is Ivanovic going to come across and leave space for Bale to move into?
The Batty thing is on me.. I misread one of your points.
As far as Tissier point goes, I think it simply comes down to how do you rate respective players here. Like I have said I don't rate Tissier high enough so that Keane would not be able to stifle him playing playing his natural role or if required someone like Mcgrath can't charge out and take him on. Yes in that case, it would necessitate leaving only one defender on a forward as it happens in football matches all the time. That scenario is no different where a charging Scholes runs into the box and one of your CB or Batty will have to cover for him leaving either Fowler 1 v 1 or Bergkamp here.