It is not entirely clear how the MJO and ENSO interact.  This is in part because it is sometimes difficult to isolate the influence of MJO versus the influence of ENSO.  They can definitely coexist with each other, which can amplify or suppress tropical and global impacts.  So far this year, we have seen very little MJO activity.  While I don't know the reference off the top of my head, I have heard some folks speculate that MJO activity is reduced during stronger El Nino and La NIna periods.