I thought those 6 F-35Bs on the LHA were mainly there to provide the air envelope around the LHA so it could operate, protected, in any littoral totally independent of a CSG/ without needing air cover from a nearby CVN; also, for projecting limited air power ashore as needed.
Yes, those F-35Bs would be "part of the day one package" because day one might include deterring/defeating Mr. Fencer, Mr. Flanker, Mr. Frogfoot, etc. from shooting to pieces the LHA and Marines ashore.
Once the operating environment calms down, and those Marines on ship/shore have a less-contested airspace, then by all means load up your 6 F-35Bs with SDB IIs and JDAMs instead of AIM-9Xs and send them hunting.
By the way, the "F-22 + B-2 + AWACS" combo sounds like an awfully poor mission package for NEO/HADR, among other contingencies. You're still gonna need the MEU in the 21st century (and I am not a Marine saying that).