I am in the process of doing this conversion myself. I decided to go with ORF's Bulgy non-matching stamped kit and add the 16" K-var barrel. I have have emails from guys that have sucessfully done this conversion with only replacing the barrel.
http://www.ar15.com/forums/topic.html?b=4&f=51&t=86382
They have reported that have seen some damage to the case head on the 5.56x45mm brass cased rounds (from the 5.45x39 bolt). I am an avid reloader and have opted to do a more extensive conversion.
Option1: replacing just the barrel: This barrel is 23mm in diameter around the chamber (it is intended to be used in a milled receiver weapon). The bulgy stamped receiver front trunnion is 22mm. This will have to be turned down to fit. (note: You may have to work on the feed ramp too.). Add your RSB, GB, and FS and you are ready to go.
Option2: replace the barrel as above. Replace feed ramp with 5.56 ramp, Replace bolt and bolt carrier (either with a 5.56 or '47 carrier)
FYI: the $229 non-matching kit was all matching except the dust cover and the bayo. YMMV
My receiver in process:
So if you are interested in doing this to a Tantle I would get someone to measure the inside diameter of the front trunnion, and take some measurements of the orgional 5.45 barrel around the RSB, GB, and FS. Compare this to the 5.56 barrel (I can get those for you) to see if this is possible without major barrel work.