Reading between the lines, Liberty media seem to have a lot of respect for F1's history, and the media image of F1. I've read the following:
- Traditional races (GB, Italy, Monza, Spa) will gain heritage status, and will be protected.
- Races in regimes that are deemed to be "dodgy" (such as Russia, Azerbaijan) are likely to be dropped
- The owners are willing to spend money
- Liberty media want GPs to be week long events - akin to the super-bowl, rather than simply 3 days with no publicity around the area
- Competition may well be highlighted; this may well mean that rules, such as a single tyre supplier, may be eased out.
- More equalisation of the TV money to be distributed amongst teams.