I got the same referee report from two different journals
As a reviewer, when I get asked to review a paper the second time I will see whether my comments from the initial review were addressed. If not, then I will submit the same review. Why should I update my review if the paper has not been updated?

Getting the same reviewer is a very common occurrence. Perhaps in your situation the reviewer is misguided. However, when re-submitting a paper you should make every effort to address previous reviews.  And, in any case, legitimate issues raised by the reviewer should be addressed. Even if you think the reviewer is confused, you should seek to clarify the confusing points. They may be confusing to others too.

In your position there is probably not much you can do other than write to the editor explaining the situation. The best argument you can put forth is to explain that all of the points in the review have already been addressed in the submission. That makes it look like the reviewer didn't read it, which means the editor may side with you.