Your definition of Intelligent Design sounds more to me like creationism than ID.
ID doesn't say anything happened according to God's great plan, because ID doesn't say anything about God at all. ID makes no attempt to identify the designer.
Microevolution is indisputable. Bacteria becoming resistant to antibiotics is a form of microevolution. Everyone agrees that microevolution happens. Proponents of ID would say plants and animals were DESIGNED so as to give them the greatest degree of adaptability to any ever changing environment. Creationists and theistic evolutionists would say GOD designed life that way. Evolutionists (what they used to call "Darwinian Evolutionists", although that phrase is becoming less popular) would say that it was an incredibly fortuitous chain of random events which resulted in life having this amazing ability.
Now, if you are talking about macroevolution, then the belief that this happened according to God's great plan would be theistic evolution.
Some proponests of ID do not believe in macroevolution. (This would include the creationists.) Others *do*. They believe that certain features of life were designed, but once the design was in place, early species did evolve into later species. (This would include the theistic evolutionists). But either way, although the subgroups of creationists and theistic evolutionists believe in God, ID does not attempt to identify the designer. Some proponents of ID are agnostic, while others believe not in God (or the God of the Bible), but in some sort of impersonal intelligent force or power.
