OK, now that my hair is done…
Bottom line, as kcd said:
You can’t fly over neutrals of any type - pro-you, pro-them, or strict neutral. You can only fly over them after they are no longer neutral, which may be as early as your non-combat movement phase.
Jenn, you might consider reading the rulebook from beginning to end. Really. You’ll find it very interesting - it’s not boring to read when you play it as much as you do. For instance, you would have benefitted (as would your opponents) from reading the following, instead of just guessing:
Page #10, under “friendly neutrals”: “Friendly neutrals may not be attacked, and air units may not fly over them. They can be moved into (but not through) as a noncombat move by land units of a power that is at war…”
Page #11, under “unfriendly neutrals”: “Air units can’t fly over an unfriendly neutral unless they are attacking it”
Page #11, under “strict neutrals”: “Strict neutrals are treated in exactly the same was as unfriendly neutrals, with one exception… (all of them turn against you when you attack)”
You can’t fly over any neutrals under any circumstances (as long as they are “neutral”) - not even friendly ones.