The St. Isaac Jogues missal includes the music for the responsorial psalm (from the accompanying Chabanel psalms), but includes the text, Latin and English, for all propers of the day: introit, gradual, Alleluia, offertory, and communio. So, the text is in the missal, regardless of language or psalm vs gradual. Super helpful, straight through Mass, and impossible to claim someone can't figure out "where that came from!"

We don't usually use the Gregorian gradual + alleluia/tract, but we have been known to, from time to time - especially on Palm Sunday, and some other feast days, etc.

According to the General Instruction, para 61-64, the responsorial psalm and the "acclamation" before the Gospel are taken from the Lectionary or from one of the Graduals. So theoretically, you can use any of them, with no further ado. But you come up against
* There is no official vernacular translation of the Roman Gradual
* If the order of listing is the order of preference (as is sometimes said re. the choice at the introit or offertory) then the Lectionary texts are preferred
* There is a recently invented musical "Tradition" for the responsorial psalmody and for the "Gospel Acclamation" , and it extends to Lent, using the Lenten replacement acclamations which are also in the Lectionary. But there is no tradition or custom for music for the Gradual texts, which are not responsorial in the same way at all. So there will be resistance.
* The Tract, no matter how you do it, is almost unknown.

In summary: theoretically you can just use them, if you can settle about using unofficial translations; practically, it may be very difficult to get acceptance.

In the place where I direct a schola singing in English, we use the Lectionary psalms sung to modern plainsong, unaccompanied, and we sing the Alleluia or the Tract in English from By Flowing Waters which is a (somewhat) official translation of the Simplex. Some have wondered why we don't sing the "proper" Gospel Acclamation. (Some have wondered why we sing plainsong and where the guitars have gone...) So there I would not press for using the responsorial Gradual even in English: a bridge too far!

GIRM does make it fairly clear -

Instead of the Psalm assigned in the Lectionary, there may be sung either the Responsorial Gradual from the Graduale Romanum, or the Responsorial Psalm or the Alleluia Psalm from the Graduale Simplex, as described in these books.

a. Alleluia is sung in every time of year other than Lent. The verses are taken from the Lectionary or the Graduale.
b. During Lent, instead of the Alleluia, the Verse before the Gospel as given in the Lectionary is sung. It is also possible to sing another Psalm or Tract, as found in the Graduale.

[edit] darned machine has messed up my formatting of the following table