(such as more rights for female citizens)
That's actually false, because Plato did advocate for more rights for female citizens. I read the Nomoi and he's very modern here, he wanted women to take part in military exercises, I however didn't understand if he went so far to accord them voting rights.
forced segregation of the people by trade (and compulsive assignment of these trades: if you are born in the craftsman district, you are to be a craftsman and nothing else)
Well, that's a quite distored view of Plato's political idea. I don't if you read the originial works of him, but first you should know that there are two fundamental books (even if moral and political ideas certainly show up in other of his works): Politeia and Nomoi. To put it short, the Politeia is the description of the "best" polis, whereas the Nomoi describe the next best city. One interpretation of this is that Platon got more realistic and disillusioned as he grew older so he realized that he had to water down some of his extremist ideass if he wanted his ideal city implemented. Also, the Nomoi are much less abstract than the Politeia and include precise legal and constitutional provisions.
Now let's get into the details. The Politeia is progressive on some issues (like feminism) while it's really inhuman on others (eugenics). The society is indeed very segregated and hierarchic, with the philosopher kings on the top, the guardians in the middle and the workers at the bottom - however, IIRC, the children are assigned to the classes according to their spiritual condition: workers - appetite, guardians - spirit, rulers - reason. So the membership in a class was not hereditary, but you should look it up if you're interested in it. Wikipedia compares Plato's idea on an aristocratic government to a technocracy, and I think the whole technocratic line of political thought stems from Plato.
Anyway, I perceived the Politeia as very abstract and idealistic (really, that isn't surprising, giving Plato's idealism). I really
preferred the Nomoi to to the Politeia. In the Nomoi, Plato describes a classical Greek city of around 5000 citizens, but these aren't segregeted by trade at all. In facts, they are all landowners of an equal land lot. Plato isn't a communist, but he advocates a certain economic equality of all citizens for practical reasons. The collective ownership of the family is rejected as utopic in the Nomoi, but disputes between citizens over property should be prevented by the "ban" on poverty. Interesting is also that craftsmanship and commerce is prohibited, so these professions are open to foreigners only.
Finally, never forget that citizens will in Plato's model spend time on politics, gymnastics/war and education, because just like in Sparta, field work is done by slaves (so in fact, the city has much more than 5000 inhabitants; 5000 is just the number of male citizens fit for military service, and even there Plato's had the idea to include women too to double this number). Furthermore, eugenics aren't run by the state anymore, but shall be included in morals and education (boys are taught to choose women with regard to the common good of the polis. Also, the political system of the Nomoi is much more concrete and much more palatable too, even if it's still very aristocratic: Plato tries to find the middle between monarchy and democracy. Offices are elective, but the votes of the wealthy have more weight than those of the poor. The philosopher kings are replaced by different institutiton like Nocturnal council.
Needless to say, I'm never taking political advice from this guy!![]()
Well, it depends. First I think you should read his books, because they are really fundamental to modern political theory, or at least some good synopsis like this one. Also, I think that tje ancient world could have benefited from some of Plato's ideas like public education, rights of women or the mixed constitution. Recently, I read the neoplatonic Dialogue of Political Science written under the rule of Justinian, and it really shows how even Byzantines were able to conceive a government beyond crude absolute monarchy of the Dominate. The author of the book imagines quite sophisticated institutions like a controlled, elective imperial succession and a Senate composed of the wisest men who are called from all over the world to serve Rome and the emperor (that's what Plato's philosopher kings became 8 centuries later).