Not so sure where some of you are working out your ASW screen numbers from - but I don't think it's based on a CSF config for the last 30 years.
there are 11 x CSF's available. Basing the numbers on the smallest of the CSF's gives you a typical config.
Carrier + 4-6 ASW helos
1 x Tico (min) Air Warfare
2 x Air Warfare and GP skimmers (Usually AB's) + 2-4 ASW helos
2 x ASW (DDG/FFG's) + 2-4 x ASW Helos
Min of 1 nuke sub - usually 2.
Each ASW asset has access to it's on TASS derivative
Bear in mind that this is not the 7th Fleet (Pacific) which is considerably bigger and has more forces on tap + has access to a greater pool of reserve respondents like nukes, FFG/DDG's ASW, AWD and AirWarfare.
Assuming that half the helos are up, the subs are doing their guard work and the ships are in a normal disposition - then its going to take an overwhelming force to persistently breech the screen.
Thats not even looking at the issue that the USN may well profile ASW strike groups like they did in the Cold War days. The Soviets were far from confident of breaching the CSF in a period where they had far greater capability to bring persistence and saturation to the table. No other current non US navy is anywhere
near the capability of the Soviet Unions anti-shipping model.
I would think anyone attempting to breech mulitple CSF's formed up into an Uber Task Group (a variation of the TF58 mentality) is going to find it very very difficult. Apart from the fact that Whiteman would have their homeports on their targetting list - and the fact that the current test trials using JDAMs etc is showing that the USAF can standoff and strike enemy assets well before they close on a CSF.
CSF's don't act like a fishing fleet, so I think maybe some people have this vision that the CSF is layed out like a D Day photo opp - they're not by a long shot. The layered zones of engagement and protection are significant and large (and are not going to appear in a public forum)