Just jumping in here, have not read all the posts on this but I have been doing the Military ATP checkrides for 12 years now and I keep in touch with the FSDO to get the latest readings on the regs. First, what determines if an airplane has a CL thrust restriction is simply if it has a published Vmc. The F-117 guys found this out then went back to Lockheed and asked them to publish a Vmc for the F-117 and voila! no CL thrust restriction.
About the Mil Comp CFI. When they first started this in Oct 09, they would issues guys with a CL thrust restriction a II and a MEI with restrictions. then the FAA determined you cannot issue an Instructor Certificate with restrictions, so now you will only get an II. When you renew you will on get an II unless you take a CFI checkride in an airplane.
So what does the MilComp CFI get you: Alot, even if you don't realize it now. For initial CFI checkrides, most (it may be all) FSDOs require you to schedule thru them and they have the right to have you take it with an FAA Ops inspector. Even if you take it with a DPE it is extra time and money as most will charge more and only can do one a day. BUT, if you have any instructor rating, you can schedule as an add-on directly with a DPE. We do this all the time and it is alot cheaper and easier. I recommend you do the ATP then stay an extra day and do the MEI add-on.
For renewal, go to
AmericanFlyer.com and pay their one time fee for the FIRC. You do the online course and then if you need to renew they charge a small processing fee. I recommend you renew every 24 months, cause if it expires, you have to take a checkride to renew. PM with questions about your specific case. Do the MilComp CFI before they change their minds!!