So after reading the rules, I don't see anything that prohibits the rhinos from moving, even with the second part of the sentence. However I see where WestRider is talking about when they say that infantry is implied. The whole paragraph is written as if it was talking about infantry that isn't on a bike or isn't using a jump pack.
So RAW says yes. RAI may be different. But like I said, usually they say what can or cannot participate and here it clearly says units, not "infantry" or "non-infantry".