Here's my take on it.
PIC doesn't destroy the Star Trek 'Utopia' because it's being allegorious for the wrong thing, as in, the entire set up is wrong.
It's supposed to be a commentary on "xenophobic democracy" as seen in Europe and America since the recession and Arab Spring with a mix of Trump and Farage and co thrown in there, yes?
But that's the ticker. It literally can't, not with this premise.
Earth is a veritable paradise gated community. The Romulans are supposed to be refugees and migrants we've seen on the news and maybe even in real life for the last how many years - but it doesn't work. For Americans - Central America and Mesomarerica has been in crisis for forty years, +. For Europeans - the Arab Spring saw a huge reaction and destabilization via mass movements, an ideal, then government crackdowns and civil wars, right? Other migrants came in from elsewhere for economic reasons, dreams of employment or enjoying a richer economy.
But that's not what happened to Romulus, it was destroyed by an external natural event. That changes a LOT on how you can use it for an aesop.
Romulans aren't running from a idealistic civil war that has gone nowhere/been hijacked, or a failed state due to proxy wars between Great Powers (as it was one, remember). Romulans can't even be demonized as job takers, demographic shifters, or even promoting a different culture in the Federation, compared to our real-world counterparts that are accused of out-breeding locals or promoting Islam/Catholicism or whatever the ever illusive 'Globalists' or 'Soros' or 'NGOs' did?
I don't know if there's even a good proxy for what the Romulans are - maybe if the Three Gorges Dam collapsed in China?
And, of course, no Trump or Farage has appeared, nor could they, at least not in the "core". The Federation Council isn't going to be shown as partisan to the point of near non-functionality as seen in the UK or USA, or with minute minority interests, from UKIP to the Tea Party and their Koch and corporate backers. Nor can the President be a Trump or a Farage - what, is Earth going to secede? I think Andor wanted to, but Andor isn't the focus here.
Not without extremely contrived writing.
Well, maybe it could. IF Picard dealt solely with the border zone with a new or ascending Federation member or colony. A lot of this would be believable "out there". Synths to help with a rush job? Believable, right? Not a lot of people on this world, hey, but demand for products (in this case, ships) is high...spam out some bots. Romulan refugees being a problem? Hell yea, the NZ is right there now. Pirates, scum, black marketers, intelligence agents? Yep. Jingoistic, reactionary leaders? Of course. But on the affected frontier. Not just using the Frontier as a backdrop, but living in it, staying there, being focused on a smaller picture than PIC is gearing up to. (FASA basically had this with "the triangle" and Star Trek sort of delved into this with Bajor and the Marquis, so this should be more along that vein for this paragraph to work).
If the show took place on a veritable hive, buzzing and agitated, it would be much more believable. Corrupt Starfleet, half-assed or burnt out police, maybe even a actually 21st century capitalistic economy still in motion, that stuff.
But the thing is, Picard is focused on getting a crew, zipping around space in a cool sleek spaceship, solving a mystery around these girls, people being suspicious of each other, plots on plots, the frontier again. It's a Firefly thing, and that's not the vehicle to bemoan the state of the West in the last ten years, is it?
Would a Andorian Trump be orange?