Break-Free CLP is MIL-SPEC PRF 63460 (or C-63460, L-63460) which is a lubricant, cleaner, preservative (hence the CLP in the commercial name). I've got a military bottle sitting on my bench...looks identical to the black CLP bottles you buy in the store except it has the standard military "generic" label instead of the commercial label.
Break-Free products are made by Break-Free Inc from Jacksonville FL not Octagon Process.
Not sure exactly what MIL-SPEC C-372 is besides bore cleaner. (C meaning a cleaning fluid, L meaning lubricant, PRF meaning preservative fluid)
Here's an MSDS for 372 Rev C (as opposed to your can of Rev B stuff).
Doubtful the formula changed much from revision to revision.
Looking at the MSDS, the formula is very similar to Hoppes#9 but a little different.
C-372 is also made by other chemical contractors too. I did a quick Google search but didn't find any familiar commercial names, just industrial/aerospace chemical suppliers.