They sure do, but looking at recent events, you can make an educated guess on which country has more influence over the other. Part of it can be attributed to spying and knowing dark? secrets.
Trump publicly prohibited various Israeli operations (at end of 2025 op and 2026 Iran war), publicly badmouthed Nethanyahu repeatedly (via Barak Ravid), and had various diplomatic initiatives Nethanyahu didn't like. It's pretty obvious who has more influence here.
As much as they don’t, that’s why it’s spying. But given the budget for spying agencies the guess is they might be doing something and it wouldn’t be intelligent not to spy on Israel, something I don’t believe to be true even for this administration.