Because of that, at this point, they should do it.
The above example is fine. at this point could be treated as an interruption and could hence be separated by a comma pair.
Because of that, at this point they should do it.
Because of that and at this point are introductory prepositional phrases.
Please refer to Englishplus for the following example.
Correct: Over hill, over dale, we hit the dusty trail.
(The two phrases are in series here. We could say "Over hill and over dale.")
Our two phrases are considered parallel and hence should be separated by a comma.
Similar to cases where we place a comma after the last introductory phrase, we should have a comma here after at this point.
Because of that, at this point, they should do it.
By adding an and between the two phrases, we could show that Because of that and at this point are parallel.
Because of that and at this point, they should do it.
I believe we could test also by swapping the positions of the two phrases.
At this point, because of that, they should do it.
The sentence is still fine.