This is a false syllogism. You are distorting what is being asserted to you, which simplified comes down to, if you're the leader, then you're responsible for everything and everyone over whom you claim leadership. Your formulation therefore comes down to asserting that, if one is a leader everything that happens under one's leadership is that leader's responsibility, and God is the Creator of all leaders, so therefore God is responsible for everything everyone does wrong. By stating it that way, you are conflating leadership with creation. God created us, and He has made covenants with us or our representatives, but rarely do his human creations fully submit to His leadership or even agree to surrender themselves to do so.If leadership means that it's all your fault, then that means that ultimately, all sin is God's fault since He is the originator of Adam & the leader of us all.
What I believe @FollowingHim is attempting to convey to you is that you are dancing around the fact that you are letting yourself off the hook for having failed to determine that Alexa would fully agree to submit to your leadership and now want to blame her for failing to do what she never agreed to do. If what you're describing about her is true, then we're not going to dispute that she bears some of the blame. However, within patriarchal leadership, the only approach that contains full power is to assume 100% of the responsibility for everything that happens in the family, which doesn't mean that no one else bears responsibility for hir actions -- just that the buck stops with you.
By the way, I say this as a man who married his wife 33 years ago without insisting on clearing up where responsibility lies, and I fostered a dysfunctional family atmosphere for about 28 of those years until I took on the project of bearing 100% of the responsibility. Part of what taking that pledge has entailed is requiring of myself that I be patient with my wife as she gradually comes around to following my leadership, which was leadership I formerly rarely provided and which she should be forgiven for having failed to follow, because it was relatively nonexistent. This has made a tremendous difference in our marriage and family.