You will believe what you want to believe.
But the facts say your narrative is false. Entirely false.
Eventually, Trump himself acknowledged that Obama was born in the United States. https://www.youtube.com/watch?v=hzpY7aDPhtw
Here is Snopes' fact-checked report on "Hillary and Birtherism." https://www.snopes.com/fact-check/hillary-clinton-started-birther-movement/