In all seriousness George, you're dealing with heat, vibration, oils and solvents. Metal Mend is thin aluminum tape if I've got that right. The aluminum may hold up to the heat but I wouldn't count on the adhesive to last very long with the expansion and contraction of the engine warming up and cooling down, plus the oils will break down the adhesive.
I'm not exactly familiar with the broken housing in your pics but I doubt the Metal Mend solution will last all that long.