Okay, so. I ran a simulation of your Ixra system in Gravity Simulator, for reasons you will see. I then found out that yes... Your system is unstable. You do not have to change it, but Klifa and Klaftra exchange orbits then they re exchange (putting them into normal orbit) but only for a short time, because then, the exchange AGAIN, then Klifa gets thrown off into an extreme orbit, here is the simulation images:
*sigh* I can't put it up due to the idioticness of me not being able to find the gif animator... AHHHH