God as Sovereign over Nature should be able to use physical, naturalistic processes. God as the God of the Gaps (GOG) cannot (since, by definition, GOG only works within the gaps in our knowledge). So of course God, Sovereign over Nature, can use evolution as part of Creation. It's GOG who cannot.
All I've seen of ID arguments is that they rely on GOG. Years ago, I even came across an essay by Phillip Johnson in which he explicitly stated that his main problem with evolution is that it leaves God with nothing to do; that, to me, just screams out "GOG". And many "creation science" arguments also speak much more loudly of GOG than it does of God, Sovereign over Nature.
So then, yes, ID and "creation science" do demonstrate that they are opposed to the idea of God as Sovereign over Nature.
Edited by dwise1, : No reason given.