One could argue the "Balance" you request could be achieved via your subjob choice.
No, read that again. It is in fact true.
RedMAGES are only really lopsided as a MAGE because YOU chose a MAGE sub. Everything you're asking for here could be attained by subbing War, Dark, or even Nin.
Is it optimal? No, not at all.
But a Melee Rdm hold their own compared to a 'normal' melee about as much as comparing a Rdm healer to Whm, or a Rdm nuker to Blm. Asking for a "Melee Update" is kind of a head scratcher, when you got so many better tools at your disposal, even to be the proverbial "DD" that you say is lacking. (I say that because you seem to forget "DD" stands for "Damage Dealer" and if you weren't a relevant "DD" then what do you call your Nukes?)
One could argue (very accurately) what you guys ask for is for your job to be Blu. At which point I would say, just level Blu. It literally does EVERYTHING a Rdm typically wants Rdm to be when they aren't satisfied with how Rdm is.
But the one thing that makes Rdm as a Rdm shine is it's greatest assets: Rdm's fast cast and enfeebling skill/spells. You can literally "Bore a mob to death" with DoT's; or Nukes trading off with any of the following: bind, break, sleep, sleep II, sleepga, stun, etc... And your position in parties is guaranteed for those same reasons, so how exactly are you deficient again? Because you can't poke shit with your sword? Really? You're one of the most vital jobs in the game, and you're irritated you're not more useful?
I agree with the general desires of both sides of this argument however. On the one side, Bigboy's completely right, strengthening anything on Rdm brings back an imbalance, yet everyone else is right the job has grown quite stale doing the same thing, and really could use an update other than just another tier of spells.
But....
Just because you don't play a certain way, doesn't mean that certain way doesn't doesn't exist. Changing your job too drastically can render other jobs obsolete. If the Rdm was a melee as well as healer, nuker and enfeebler, why invite anything else? Because everything else is still better? Then you're with the same problem before, no change. If you surpass an actual melee, you've removed them from the game. Make sense?
As with other threads, no one is really seeking balance so much as they are seeking absolute dominance, and Rdms are especially guilty of that.