The data is the fossil record, and there is clearly an argument being made that it backs ID.
Which of the major IDists make this claim? We seem to have arguments from Behe and others about biochemical pathways that don't fossilize at all. Gaps between taxonomic groups where there is no suggestion that these can't be crossed in small steps are not of interest to neo-paleyists. Only those in the original YEC creationist cults that do not understand "ID" think that there is any support for their views. The major IDists are actually supporting and old earth and evolution as biology accepts that it unfolded. What they argue about is the details of the actual mechanism. I'm surprised that you would want to join with that camp at all.
The lack of a particular piece of fossil evidence is NOT support for ID. ID supposes that specific steps can not be managed none of those steps are the size that span major taxonomic groups or that can fossilize. This is, of course, because there is evidence for such spanning via evolutionary pathways of the parts that can be expected to be found in fossils.
The steps that ID is fussing with are bacterial flagella and blood clotting pathways. These is the neo-paleyists issues. They do not suggest that there will be gaps in the fossil record.
I hope you aren't going back to the original stuff of old paleyists which has long been done away with which is why the neo-paleyists had to come up with new material.