Gustar is special kind of verb (there is a good handful of others that work the same).
The best way to think of it is: [something] is pleasing to me. The [something] is the subject of the verb, and the person to whom it is pleasing is the object.
The direct object pronouns are me, te, le, nos, os, les.
In the verbal periphrase ir a [infinitivo], the verb ir is conjugated with the same subject as the main verb, the infinitive, would be.
In the phrase Te gusta el pollo frito, the subject is el pollo frito. Word for word, it's like "to you is pleasing fried chicken".
If we say the same phrase in the future, el pollo frito will still be the subject, giving: Te va a gustar el pollo frito.
The person who likes the thing is always expressed with the direct object pronoun and the thing being liked is always the subject, meaning that gustar is always conjugated in the third person when the thing being liked is an inanimate object.
(Yo) me voy a gustar means "I will like myself"
Tú me gustas = I like you (*you to me are pleasing) // Tú me vas a gustar = I will like you
Yo te gusto = You like me // Yo te voy a gustar = You will like me