Including push-button to thermometer

The code you posted doesnt appear to have any pushbutton functionality. It would be useful to include the code you had tried..

The basic scheme is pretty simple :

// this doesnt take into account switch bounce
current_button=digitalRead(BUTTON_PIN);

if (current_button!=previous_button) {
   if (current_button==HIGH) {
     // button is pressed
     if (sensor_state==HIGH) {
        // was HIGH, going low so turn off sensor, LEDS etc

         sensor_state = LOW;
     } else {
         // was LOW, going high so turn on sensor, LEDS ect

          sensor_state = HIGH;
     };
   // update button state so we dont trigger until it changes again.
   previous_button=current_button;     
};

But you may need to account for Switch Bounce