Just to clarify my reasoning behind the US CVF idea, The USN will not be able to increase the number of CVNs in service for decades as only one shipyard (Northrop Grumman at Newport News) can build them,- and only one at a time. The US CV force is already being overstretched and longer deployments lead to manning problems such as retention of trained sailors. Logically more ships are needed to spread the load, though they need not be as capable as a CVN since some operations are lower intensity (ie training and ASW for example).
Thus the most obvious solution is for the US to join the CVF programme, which will lower overall costs to the UK and France for a start, providing support to the USAs closest allies and since they have been designed to operate the F-35 from day one compatability with USN aircraft is not an issue. The CVF design has a high degree of automation reducing crew requirements far below those of a traditional CV of similar size, bringing down operating costs. A force of five CVFs could be built in the same time as two CVNs and would help relieve the pressure on the USN. One would be allocated as a permanent training carrier at Pensacola Florida (a belated replacement for the old Lexington AVT16) but could be brought forward for frontline use oif needed, also releasing a CVN from the role. Other vessels of the class could be used as high speed LPHs able to transport up to 1500 troops to trouble spots along with their Helos, and once these had been landed an air wing of F-35s could be flown out to the ship allowing it to remain on station in support of any CVNs assigned to the mission. Alternatively they could cover smaller ops on their own, including convoy escort, ASW, disaster relief (think of the boxing day tsunami) and others.
Warships don't come more useful than the flat topped, lop-sided ones. This solution would:
allow the CVNs to remain in the strike role,
allow the LHAs/LHDs to concentrate on the amhibious role (instead of facing the possibility they might be withdrawn to cover the Sea control role),
and take all the miscellaneous/ nebulous other useful duties currently assigned to CVNs and LHAs/LHDs and give them to ships occupying the middle ground: The USN CVFs.