You are suggesting America ran a coup and installed a regime in Ukraine?
What you are talking about are Russian myths (often propagated on the right), Ukraine was commited to nuetrality when Russia invaded in 2014, annexed Crimea and forced Ukraine to seek security guarantees only NATO membership would provide.
"Coup" was not about NATO millitary alliance membership, it was about Ukranians fighting for their freedom of speech and economic membership in EU. National commitment to a goal of joining NATO was only established after Russians invaded.