What you're calling "energy intensity of production" doesn't look like a very important parameter. There's plenty of unused land that could host solar or wind installations and transporting electricity really is a solved problem.
I understand the impulse to defend nuclear power against seemingly irrational criticism, but that shouldn't distract you from the incredible advances that other technologies have been making. Nuclear has had its time, and today it's just not a competitive way of making electricity anymore.
Beside, you're never going to convince people that nuclear is perfectly safe - it just isn't. Even if you can completely rule out catastrophic failure, you still have a bunch of people who need to go to work every day and work with radioactive materials. Yes, it can be done safely, but personally I'm happy I don't have to (and I do work with other toxic crap in the lab on a regular basis ;)).
So, at the end of the day, you're going to need to make an argument that goes like "... but nuclear power is worth it because we have no better alternatives" at some point. But look at this report on levelized cost of energy (LCOE) [0]. Wind and solar are absurdly cheap! We need to focus on solving the intermittent supply issue now, and that looks to be totally doable, if expensive, with current technology. But it's only getting cheaper (see literature I've cited in a different post in this thread).
Of course, calculations might change if there's some sort of technology breakthrough in nuclear technology - as in any technology.
[0] https://www.lazard.com/perspective/lcoe2019