Well Sci as I am sure you know the future is all about IDIC and mankind has evolved past their grasping need for fashion and the cultural dominance of one group over another.
Exactly! Well, I'm not sure it's a matter of outgrowing a "need" for fashion as much as it is a matter of outgrowing the idea that one culture's formal garb are superior to another's, provided that the garb used is garb that demonstrates formality and respect for the others involved in the function attended. Clothing is a form of communication, after all.
So I am sure they will let you wear your tie(s) to formal functions, maybe even without any tittering taking place. No, seriously. Someone has to preserve the past!

What the hell is with this hostility towards neckties?
I'm sure neckties are still used in the 24th Century, just as I'm sure that kilts, bunads, hátíðarbúningur, saris, dashikis, and kebayas are still used, amongst others. And I rather imagine that by the 22nd Century, humanity would have evolved to the point of being able to respect one-another's formal wear without it being a matter of anger or hostility that a harmless tradition in which one does not wish to partake has survived.
Of course they are only entrenched in western culture. They don't wear neckties in the Pacific Islands, much of the African continent..
Tell that to the President of Palau. Or to the Prime Minister of East Timor. Or to the President of Indonesia. Or to the President of the Marshall Islands. Or to the President of Nauru. Or to the Prime Minister of Papau New Guinea. Or to the President of Uganda. Or to the President of Ghana. Or to the President of South Africa. Or to the President of Algeria. Or to the Prime Minister of Morocco. Or to the President of Kenya.
All of which is not to say that the necktie is somehow universal -- it is not. But it has spread to a great many cultures outside Western culture. Will African and Asian cultures keep it as they grow in power and Europe and America decline in dominance? No one knows. One would certainly hope that their native formal garb would be preserved and that they are not forced to kowtow to Western/European ideas of formal garb, but that does not mean they may not continue to use the necktie of their own free will.
But in the Star Trek Universe, I for one would posit that neckties, like any form of formal garb from any culture on Earth, are accepted for use in formal settings in both the Federation and United Earth governments.
The President of the United Federation of Planets isn't beholden to the Starfleet dress code.No, we are talking about Starfleet dress code. It's not like Archer is just lounging around at home chillin' in his tie.And we're talking about a man who was born and raised in a Western nation.
Exactly. I'm not sure why this keeps popping up. The Federation President need no more follow the Starfleet dress code than the Prime Minister of Canada need follow the dress code of the Canadian Forces, or than the President of the Argentine Nation obey the dress codes of the Argentine Army.
For whatever it's worth, though, I for one would hope that the Federation Starfleet doesn't just copy the United Earth Starfleet's admiral's uniform. For one thing, I don't see why the UESF should be privileged over the Vulcan, Andorian, or Tellarite space services in the selection of the Federation Starfleet's uniforms. For another, the UESF admiral's uniform just looks silly -- it's like they tried to cross a jump suit with a business suit.
The President of the United Federation of Planets isn't beholden to the Starfleet dress code.No, we are talking about Starfleet dress code. It's not like Archer is just lounging around at home chillin' in his tie.
He is wearing a Starfleet uniform in the photo, so we are talking about Starfleet dress code.
No, we're talking about whether or not neckties have disappeared as a form of formal wear within Federation and Earth society as of the 2180s. Your original objection was to neckties in general, not to neckties in Starfleet uniforms, and the subsequent discussion as focused on neckties, not on their presence within a uniform design.