@Switch BlaydeI agree. I'd normally put inner dialogues (thoughts) in present tense—because, for the protagonist, it IS in the present, not the past—However, that's not an inner dialogue, it's actually an example of breaking the forth wall (speaking directly to the reader, and thus breaking the entire story context).
That said, I do frequently do that too, as often, it's a great way to interject a little ironic humor into an otherwise overly dramatic, tense scene, so I see it more as a 'release value' for the reader, a way for them to chuckle, take a deep breath, and let go of some of the previously building story tension. (i.e. as such, it doesn't count in that context, as it's serving a non-story related objective).
Again, I've seen many cases where breaking the fourth wall is a highly effective technique, yet that's in experienced hands. Though in most cases, it's more problematic than beneficial.
However, just because a specific story is written as 'happening in the past', doesn't mean you can't mix tenses. There are standard guidelines for that (i.e. you separate the tenses into separate sentence fragments), yet certain things simply read better as 'present tense Action Verbs' rather than passive, non-active verbs.
Of course, MANY readers HATE those mixed-tense sentences, so you need to carefully consider your readers and their expectations in such matters (i.e. 'writing FOR your readers').