The President was lambasted for that baggy and ill fitting White Tie outfit.

I am afraid to say that there is no equivalent Kilt outfit to Full Evening Dress which is known a White Tie and Tails. This form of Dress is proscribed more than probably any other form of dress remaining in society today.
We here would call it a uniform. I should not be changed or altered.

White Tie is only properly worn with the Tail Jacket. The Tuxedo is Black Tie only.

I made a post to the end of the "can you wear a PC in the daytime" thread explaining the difference.

The Doublets are a Military form of formal Dress but are still not suitable when the invitation says "White Tie" or "Full Evening Dress".

And of course if the Invitation dictates the form of dress then that is what should be worn.

I'm afraid that this is one time when the Kilt would be inappropriate.