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When the current increases (increased demand by all-electric homes) and voltage remains the same, the resistance increases, limiting the amount of electricity that can pass through the electrical grid.

Are you talking about the increased current draw heating the supply wires which increases their resistance? If so, then that makes sense.

On the other hand, if you are talking about adding more houses on the grid increasing resistance then you have it backwards. Since the houses would be wired in parallel, the total resistance would drop as you added more. Once you add too many houses then either power company breakers would trip or they would be unable to maintain the voltage and would get brown-outs.