Trump's actions are 100% Trump's actions. His had wasn't forced in the slightest
Trump's actions are 100% Trump's responsibility ("the buck stops here" is still part of the Presidential employment contract, even if Trump doesn't think so).
OTOH, it wouldn't surprise me one bit if Netanyahu played hardball to "encourage" Trump to help. It's one of the downsides of having a "colorful" sex life in your youth and then gaining political power later on -- too many people have solid evidence of your transgressions, and now motivation to use them to influence your decision-making.
So when Netanyahu phones Trump up and says "join my war, or else I'll release these Epstein videos of you having group sex with underage girls", does Trump do the principled thing and refuse? Or does he take the coward's way out, and allow Israel to dictate US policy in exchange for temporarily saving his own political skin? I think we know the answer to that.