Izumo and Kaga are closer in size to the new Italian and Spanish (and Australian) 'carriers' than the Hyguas, but without the amphibious encumberances those have; and although about 10k tonnes smaller, their flight deck dimensions are not that different to the US America class, so she should be well able to operate F35s.
The lack of a ski jump could be easily dealt with on refit if felt required, as it was with Hermes and Vikrant in the early 80s