"IDers have a particular dislike for randomness,
Source this."
See, for example,
http://www.gotquestions.org/intelligent-design.html
"The specified complexity argument states that it is impossible for complex patterns to be developed through random processes. For example, a room filled with 100 monkeys and 100 typewriters may eventually produce a few words, or maybe even a sentence, but it would never produce a Shakespearean play. And how much more complex is biological life than a Shakespearean play?"
...
"The anthropic principle states that the world and universe are "fine-tuned" to allow for life on earth....The existence and development of life on earth requires so many variables to be perfectly in tune that it would be impossible for all the variables to come into being through random, uncoordinated events."
That reference throws no light whatsoever on what IDers like or dislike. Reasonable people have a particular dislike for randomness, to use your words, when the odds against are unreasonable. Believing in the unreasonable doesn't make it reasonable.