Is Lutheran communion theology consistent?

I am trying to understand the Lutheran doctrine of Communion. Lutherans believe that Christ "gives us his true body and blood in, with, and under the consecrated bread and wine" (*Small Catechism with explanation* Concordia Publishing House, 352). They believe that Christ's real presence is there whether the communicant believes it or not (353), because the presence of Christ is established by the words of Jesus that are read during the ceremony. While my Small Catechism doesn't say this, I am also of the understanding that the real presence is also not dependent on the faith of the pastor leading the ceremony. In this way, a communicant does not need to worry about whether the pastor or the congregation is faithful; Christ's word is sufficient for him to be sure that he is in fact receiving Christ's body and blood for his forgiveness. However, Lutherans apparently believe that, at churches (such as Baptists) who do not affirm the real presence, Christ is *not* present in the communion elements, even if the words of institution are read. This appears to also be the case even if the communicant believes that Christ is present in the elements at such a church. I don't understand how those ideas can be reconciled. **If it is Christ's words, not the faith of the recipient nor the faith of the minister, that effectuates the real presence of Christ in Communion, how is it that that word is ineffective if the sacrament is administered in a church of the wrong denomination?** Perhaps one might say that if most or almost all of the congregation doesn't believe in real presence, then Christ's body will not be really present. But then we lose that assurance solely in Christ's Word that he is really present and we must also trust the congregation that we are with. Is there something that I am missing here? How do Lutherans reconcile these beliefs? *Note:* I am not asking whether or not Lutherans are correct on this issue. I am asking asking whether the Lutheran beliefs about Communion are internally consistent. If I have misunderstood any part of the Lutheran doctrines here, please let me know what I got wrong.