Will carrier UAVs operate beside crewed fighters?

Are carrier-based UAVs likely to operate alongside aircraft such as the F/A-18 and F-35?

Probably yes, but long-range naval UAVs will grow large enough that they still need substantial carriers rather than making those ships obsolete.

Uncrewed aircraft are unlikely to make carriers obsolete. The small drones attracting current attention are short-ranged and carry limited payloads. Naval UAVs intended to scout or strike across oceanic distances will need more fuel, sensors, weapons, and survivability systems, which pushes their size upward. Operating enough of those larger aircraft at sea still points toward a substantial carrier rather than the disappearance of the mobile air base.