Is it okay to use Present Perfect Tense right after "to see how"?
It is both sad and funny to see how these guys have never really got to the core of the matter.
Yes it is okay. It might seem that the verb tenses of "see" and "have ... got" don't agree, but "see" is an infinitve, and because it is an infinitive, it:
Thus, they do not have to agree with the verb of the sentence in tense.