I personally do not see how the conclusions you make above follow.
After all, I see a deistic conception of God, such as my example that I have mentioned on here of God as a greater intelligence (a ‘cosmic programmer’ perhaps) running our universe as a simulation (say, within a great cosmic computer) embedded in a greater universe that they designed, initialized, and set in motion but do not intervene in as perfectly plausible. Countless programmers, myself included, have implemented and run little sub-universes embedded in our universe in the form of cellular automata such as Conway’s Game of Life; there is really no reason why our own universe could not be the same on a grand scale.
Now, you will ask why I am not a Deist then. The reason is that I have no positive evidence for the above just as much as I have no counter-evidence against it either.