Bit late to start CV integration...
Fact is that the F-35B (not yet cleared with external fuel) has the shortest range of any fighter that I can think of that has routinely been deployed across the pond. Not that it can't be done but it will need a lot of tanker support to maintain safe fuel levels.
And whatever they do about VLs, rolling VLs, creeping VLs or SLs in the UK will be interesting, one way or another.