Intelligent Design is not religion in the guise of science. The term is self-explanatory and does not imply God or religion.
Teleology is not religion in the guise of science. Intelligent Design however is a movement that advances a theological argument that relies on obfuscating science.
Occasionally, ID people will run back to simple teleology - but examining things closely (looking at Pandas and People, the Wedge document etc) reveals that the cdesign proponentists are not just championing teleology.
Intelligent Design is a specific movement which uses distortion and lying about science to advance their agenda.
Teleology is an interesting philosophical argument, with possible implications in the study of nature (science).
If there was enough time to study the philosophy of science, perhaps teleology should come up. High School curriculum is already jam packed, but I learned about teleology at university without issue.