I'm trying to control a servo with a push of a button but its not working HELP
This condition below is never met because a boolean comparison is implied : 

if( buttonPushed ){


and buttonPushed is declared as :

int buttonPushed =0;


A proper comparison should be OK :

if( buttonPushed == 1) 
{ 
   // Do something
}


Also the buttons need proper debouncing or the push event will have undetectable results :

https://dduino.blogspot.com/2012/03/arduino-button-debouncing.html