Prompt abilities will always pop first against ones that are not, and your interrupt is a prompt ability.
In your case, your interrupt should always land first against pretty much any jutsu out there, unless the ninja you're trying to kick is in the 1st/higher position and/or has a higher initiative rating.
Against stats, you really can't do much. The only thing you can do is to improve your initiative rating or mess around with your positions if that is the problem.