I think if you have 8 CSGs, you need to always have 1 CSG on a long deployment overseas. And in this case, the deployment would not be as draining as a typical USN deployment since it will be spending most of the time in its port in centpac. I don't see how else you can train CSGs to be ready for blue water operation. There is no reason in a heightened security environment, you cannot dramatically shorten your surge time.
Why do they always need 1 CSG on a long deployment overseas if they have 8 CSGs?
You don't need to permanently station a CSG at blue water distances just to be capable of conducting blue water operations -- that can be done by doing shorter duration deployments at long distance.
USN CSGs typically deploy for 6-9 months once every 18-24 months. For the sort of high intensity conflict air-naval-conflict in blue water distances that the PLAN will do with their CSGs, they don't need to be able to demonstrate the ability to spend 6-9 months at sea.
if USN moves all its non-atlantic side CSGs (let's say 7 are on deployment or can be made available within 30 days worldwide and they have 5 in Pacific/Indian Ocean) to westpac and keep just a few surface combatants/SSNs at HI, the equation changes, since HI would become easier to cripple whereas USN in westpac is harder to beat. If USN has 2 CSGs + 2 LHDs in westpac and keep 2 carriers in HI on high alert, then the equation is entirely different.
The US will counter by procuring systems and organizing their deployments in a manner where they are able to frontload the westpac with CSGs to destroy a weakened PLA westpac force, while optimizing regional strike and ISR capabilities against PLA forces in centpac where the US has the advantage of land based air power, ISR and the advantage in regional positioning and dispersal of forces.
My proposal is that once you knock out HI, the front line combat unit has no supply line and cannot keep operational. It would be equivalent to knocking out 2 or 3 carriers since front line CSGs knows they would run out of fuel and missiles very quickly and have no where to replenish. As such, the natural move would be to retreat.
I understand that you are aiming to cut off the major hub of support and logistics for the US forces in westpac. You are seeking to robustly defeat the "depths" of the enemy.
It makes sense to aim to do so, but only if you can guarantee that your high value maneuver forces are able to survive operations in the enemy's depths to successfully carry out their mission, keeping in mind that your maneuver forces will be dynamically monitored and experience counter-maneuvers by in theater enemy forces. They aren't stupid, they're going to position and ready their forces in a manner that is able to prevent you from getting the first shot off at all.
If you want to successfully defeat the enemy's depths, it generally requires degrading and ideally shattering the enemy's frontline forces first, so that your maneuver forces are able to travel relatively unimpeded and with difficulty being tracked and monitored by the enemy and to successfully carry out their mission to exploit the depths.
Alternatively, the other way of successfully defeating the enemy's depths without first degrading and shattering the enemy's frontline forces, is that your maneuver force is able to massively outgun the enemy's forces and able to make up for inferiority of positioning and dispersal through sheer concentration of combat capability.
In your strategy, I believe that the PLA will need a minimum of 6 CSGs +Kiribati in centpac to do what you suggested -- that's because even with 6 CSGs in centpac theater, I believe there's a good chance the PLA will lose 1-2 CSGs to US SSNs and/or land based airpower, and I think to be able to properly take out Hawaii while enabling the ability to destroy US surface naval forces guarding it and to have enough CSGs to survive to return home, will require at least 4 CSGs that can complete the mission successfully without being sunk.
2 CSGs +Kiribati is just target practice.
By the way, if the US chooses to reinforce Hawaii with CSGs, then the PLA will need correspondingly more CSGs in Kiribati.
6 CSGs in centpac is the force I believe the PLA will need against Hawaii where the US has no CSGs in centpac, where US naval forces in the theater is 2 SAGs and 8 SSNs.
For every one CSG that the US uses to defend Hawaii in theater, I believe the PLA will need to add two CSGs to maintain a favourable balance of in theater capabilities.
That is to say, if the US has 2 CSGs around Hawaii (with the baseline 2 SAGs and 8 SSNs), I think the PLA's centpac fleet will need to be at least 10 CSGs to be capable of successfully completing the mission and returning home with the majority of their CSGs intact.