Nah. I think Mitt Romney would have been elected then (John McCain is the 2004 nominee who loses to President Gore). In 2012, Barack Obama unseats President Romney and then possible creams Trump as the 2016 nominee.
I think had Gore won in 2000, he'd probably have lost to John McCain in 2004, but assuming he did win I think Jeb Bush would have won in 2008. I don't think Obama would have become president in this scenario, he got his opening thanks to G. W. Bush's unpopularity and having Clinton as an opponent in the Democratic primary. After 2008 it's anyone's guess but I could see someone like Mark Warner or Evan Bayh become president in 2012 or 2016.