It is canon to say that the Federation is a democratic state, with elected members in both the executive and legislative branch of governments
Kirk did describe the Federation (to Kor) as a "democracy." But a Admiral (Ross?) said that the multiple representatives of Bajor to the Federation Council would be selected. Which could mean elected by the populace, or appointed by the assembly.
It doubtful that Ardana's representatives to the Council were elect by the general population.
no issues about [snip] bureaucracy
Captain Maxwell made some (negative) comments on bureaucrats, that was TNG. And we saw a few bothersome bureaucrats during TOS.
The term Federation indicates that it is a Federal Republic, since it is titled the United Federation of Planets it is a Federal Republic of Planets.
Federation can mean simply "coming together." So from United Federation of Planets you could get ...
The Harmonious Coming Together of Planets.
I'd guess that the member planets send representatives to the Federation ...
Yes, at least if they choose too.
... not all of these planets are necessarily democratically governed, some aren't.
Agree, the Federation Council would be run on democracy procedures, but the various Members would decide for themselves.
I believe the Federation handles exploration and defense and the planets handle everything else.
I believe the Federation would deal with "interstellar matters," but would have little or no say within the Members realms.
TOS: Journey to Babel, one of my favorite episodes, sheds at least a little light on Federation politics.
I like that it appears that the Members decide on whether to admit new members, and the Council to have no say in the matter. Later (TNG or DS9) the Council gains the power to decide, but it's not clear when they acquired this power (or how long they'll keep it).
the Federation Council is akin to the US Congress in which the chosen representatives/ambassadors for each member world ...
It would seem that Member worlds have both representatives to the Council, and their own Ambassadors independent of the Council.
... and leave foreign policy as one of a handful of issues decided directly by the UFP government.
But we also saw that at least some (or one) Federation members, Vulcan, conducting it's own foreign policy. And having it's own extra-Federation embassies.
What are the boundaries of the Prime Directive, anyway? Why has the Federation of the 2360s adopted the policy of allowing natural disasters to destroy pre-warp societies?
The out-universe explanation of the shifting Prime Directive is needs of the plot.
But in-universe, I see it as the Prime Directive does actually change over time, sometimes very rapidly, it isn't a craved in stone constitutional matter, but rather a matter of governing policy. Perhaps it is a "hot political football" of sorts. As new Members enter the Federation, composition of the Council changes and new President are elected (however THAT happens) the Prime Directive gets re-interpreted, re-worded, and aspect of it re-prioritized.
Starfleet Command may receive frequent updates on the Council policies covering the Prime Directive.
The episode Penpals shows that even senior Starfleet officers are not in total agreement on exactly what the PD is about, or what it means.
it was hard enough to get them to join together for their mutual protection after the Romulan War.
I think the opposite there, the Romulan War was likely the prime driving force behind the formation of the Federation. From a certain way of looking at it, the Romulans were the ones who created the Federation.
... but a Saurian woman who is about to lay her eggs travels to, say, Deneva in order to lay eggs on a planet which lacks laws against egg-crushing? Does the UFP have the right to ban that? Does Sauria?
Or the opposite, egg-crushing on Sauria is not only perfectly legal, but a integral part of their culture. However on Deneva, because the eggs are independent of the mother once laid, the practice is prohibited. Does the mother still stomp?
Do cultural practices and their protections, follow a member citizen from planet to planet? Can Vulcans on Earth engage in Kalifee, and not be charge subsequently with murder? After all, it is a cultural practice.
Clearly scarcity does exist, or the number of e.g. Galaxy-class starships would have been much greater. Most likely the materials important to high-end Federation technology could not be replicated.
Not just high end, in many of the series we see a lot of simply mining going on, it isn't that these thing couldn't be replicated, but there's a reason to obtain the same materials through mining.
Economics of the replicator?
The UFP courts could act as an honest broker and negotiate disputes between member planets.
One of the important reasons to have a Federation at all, is to keep the Members from going to war with each other. Not just protecting from external threats, but internal ones too.
Nope, the Saurian could also do that on a starship.
Perhaps a starship in interstellar space, the future equivalent of international waters. Registry might come into play.
All this means is that the deciding parties would be unelected Federation judges rather than elected Federation legislators.
Assumes that "Federation judges" are not elected.
Can a Federation Member have an established church?
If the modern day United Kingdom were a planet seeking admissions into the Federation, and met
ALL the other criteria, would the fact it had the Church of England as the officially established church be enough all by itself to exclude them from Membership in the Federation? Bearing in mind that other religions, agnostics and atheists do exist in the UK.
