Some changes would definitely be required, though, particularly with Deanna, who should have a real job aboard the ship as opposed to being ships counselor.
Ship's councilor is a real job.
It's a rather important job, too.
In 1987 it was a somewhat radical idea to deploy a dedicated psychologist on a ship like the Enterprise. These days you'd be crazy not to.
The benefits greatly outweigh the costs. The standard of care these days is to treat psychiatric causalities as soon as is possible and to treat them where they are rather than evacuating them to a hospital. This tends to be effective at reducing losses. The Federation is unlikely to go backwards in that regard.