What kind of conditional are these sentences?

Solution 1:

Adding some punctuation will clarify the first sentence:

  • If he really is my clone, [then] he would never want that.

Given the condition is true, the speaker's opinion is that the clone would not want (something or another).

The second is missing a word:

  • If that [were] the case, I would recommend ...

The second is a subjunctive missing the actual subjunctive verb, meant to explore the hypothetical situation where X is the case.