My 2013 has the push button start. However if it doesn't work you can pop off the push button start button cover and put your key in. There are videos on YouTube.
My 2012 Challenger is the same way. Personally, I don't like the button. Since the keys aren't in the ignition while driving you have to keep them in your pocket which is uncomfortable so I just through them in the cup holder or door pocket if there is drinks in the cup holders. The good thing is it will not allow to lock you car doors & forget the keys are still inside. It unlocks the doors & the alarm goes off to let you know you forgot your keys.