One of the bigger issues with Amtrak is the lacklustre infrastructure, that is mostly owned by freight companies (with prominent exceptions like the NE corridor). I wont say that Amtrak is great, but infrastructure is the bigger problem. No freight company is interested in upgrading, electrifying, speed increases or even building new lines. There are few private actors interested in the passenger rail sector (with exceptions such as Texas Central and I wish them the best).
I also can't imagine great results with new private actors, since non-high speed rail suffers even more from the competition with the car due to a lack of attractive or in many cases usable public transit option near the start or destination. And high speed rail is really expensive to build, so I have my doubts that private actors will be able to secure funding without any previous examples.
To fix passenger rail in America, in my opinion, you have to at least have a major rework of how rail infrastructure works.
Canada is also doing a lot better with rail than America, with a major priority being the independence from freight companies in regards to infrastructure.