Hi. I would recommend at least to try to understand requirements of how a commercial version of such probe must be built.
I do not know UL rules.
Nor
IEC 62368-1, well first thing to note is that an equipment must have not only nominal rated voltage but also overvoltage category defined. If you take a look at your new scope, for sure you can read CAT I or CAT II label or sth like that and a user must not use it anywhere above that rating. If you want to play with mains SMPS then I guess CAT I is out of the question - diff probes are/should be CAT II or maybe even CAT III to avoid stringent CAT I requirements. Based on that - a transient voltage is calculated. A ton of rules later you can figure out what surge test this thing must survive. I won't give you data for 120V but I remember for 230V project this was like 3300Vrms test (nearly 5kVpp) just for CAT II equipment (don't quote me here). This dude from the link is designing a 1200Vrms probe by connecting 5 resistors rated 300V, well good luck with that. For capacitors - only class Y certified capacitors can bridge primary/secondary. If you want to use raw capacitors, you need to rate them adequately and perform 100% production testing and the norm defines how to do this test.
Then come various PCB clearance and creepage rules (for layout), pollution degree, dielectric strength, and rules that dictate that series resistors clearance and creepage is defined with (any) one resistor shorted. Not sure about capacitors.
I guess such probe requires reinforced insulation as secondary is just a dangling scope probe with zero protection against direct touch. Then, there is a leakage current limit in between primary and secondary, I think 0.5mA rms but again - do not quote me.
In a nutshell.
So, of course you can do as you wish but I think cutting corners must have its place and HV probe does not look like the best place for cutting corners.