From what I’ve been told by a priest in one of these orders, there are only three legitimate traditional Orders (in the strict sense) in the United States today:
The Clear Creek Benedictines
The Canons Regular of the New Jerusalem
And some Carmelites somewhere I forget
Many have tried to start, but as of right now, only these have stuck it out, not dying and shutting down (like the scandal in Scranton) nor going into schism (like the SSPX) nor being unregular and unrecognized canonically (like the Slaves of the Immaculate Heart)
The FSSP and ICRSS are not Orders. They do not take public vows, especially not Solemn, do not take a vow of poverty, are not organized under one of the ancient Rules, etc. They are technically Priestly Societies or Societies of Apostolic Life NOT Societies of Consecrated Life. Their priests are not, technically, Religious.