Correction: creationism CAN'T produce its own science because there's nothing scientific about it. Creationism can't make sense of biology because it ignores reality. it's based entirely on myth.
If creationism could produce its own science, it might be taken seriously by science; it might be possible to teach it in schools. But as it is, all creationism can say is that science is wrong, which isn't much of a basis for education.
That is ultimately why 'Intelligent Design' manifested in the vernacular of the religious right. They knew that utilizing the word 'creationism' immediately relegated their views to myth. So they attempting to give it a more 'scientific' sounding title in the hopes that it would give them more gravitas to push their ideology into the classroom. But unfortunately for them, as was evidenced in the Dover trial, it backfired. When they peeled back the onion of ID, it was just creationism in a new wrapper.