No.
"Mental balance or composure, esp. under provocation; calmness; equanimity; (now chiefly in keep or lose ome's temper, out of temper)."
New Shorter Oxford English Dictionary, than which there is no higher authority, except for the Oxford English Dictionary from which it is derived.
I agree with you about "compassionate conservatism" being an oxymoron, though; like "military intelligence"!
Leaving aside that dictionaries are descriptive rather than prescriptive, the definition you give allows for temper to be something that can be lost and hence a temper tantrum makes perfect sense. Even if it didn't that it is a much used term with well understood meaning, so you pedantry was pointless.
Anyway I am much more interested in your reaction to Trent's post 1056. Could you read it and if you still think you are not homophobic, explain why? As I have already raised in addition to you wanting to discriminate against homosexuals because you don't think their relationships are on a par with straight ones, your facile dismissing of Trent's concerns in telling him not to be silly, also seems to me homophobic.