You're leaving out Putin's role and emphasizing minor details. For example, Putin always hated the US, and the fact that Yeltsin's campaign hired American pollsters had nothing to do with that, nor do Russians in general care who Yeltsin hired as consultants.
Former FSB agent Litvinenko accused the FSB of being behind the apartment building bombings before Putin had him assassinated. These bombings were equivalent to 9/11 in the Russian consciousness at that time, and FSB agents were even found to have planted the defused bomb that immediately preceded the Second Chechen War, but after they were arrested, FSB director Patrushev claimed that incident (that was used to justify a war) was an anti-terror drill and had them released the next day. There were no more apartment bombings after that, and the Chechens claimed to have nothing to do with those bombings, which is exactly the opposite of what any other terrorist group would do. https://en.wikipedia.org/wiki/1999_Russian_apartment_bombing...