Whatever they are canonically (and +Lefebvre wasn't wrong), one gives a schismatic "impression" by going around setting up Dominican or Redempotorist (or other) types of religious houses.
Fr. Alphonsus is not in that category tho. For years he's worked with the SSPX in all sorts of areas such as filling in as a substitute priest when they ask him to. He hears confessions Sundays or at least every other Sunday at SSPX before and during the Low Mass, gives missions for the SSPX etc. so it's not like he's some break away priest or anything.
As it says on his Amazon Wish List page:
"The Traditional Redemptorist Missioners are preachers associated with the Society of St. Pius X (SSPX)."Anyway, he is still in the process building the monastery and will have an informal blessing of it next week and an official blessing with +Fellay sometime around the end of the year after it's completed.