To specifically answer your question:
As the most junior attendee of these meetings, what would be the most polite way to request flipping the schedule?
All you can do is politely ask.
Point out that it is totally normal for engineers in India to deal with unusual times, so it shouldn't be a problem making it a more normal (for you guys) time, particularly considering there are "more of you"
Whatever you do. Do not mention any of the nonsense about you being "tired" etc
As I say in a comment, it sounds harsh but for better or worse, now that you're a professional, the idea that you're "not a morning person" (rofl) or "sleepy" (poor heart) is, not something you can ever mention again. For better or worse that's the case.
Put it in a box and make it a happy memory from when you were as student, teen, etc. Programmers are ridiculously well-paid professionals, and indeed dealing with remote issues is one of the primary incidental professionalisms you have to exhibit.
So, in answer to your question, all you can do is raise the idea politely. (But whatever you do don't mention the fact that you're "sleepy").
One danger: do you work in a "I'm working for a famous entrepreneur" startup type situation? If so, be aware that 100.00% of "shark-tank" like successful tycoons get up at 4am or earlier and work their guts out early in the morning, and they've done that since they were 12 years old. If this is the situation, perhaps be careful that if you even hint you "don't like mornings" to such a person, it will be a huge black mark. :O