One's perception will depend largely where you land regarding the intersections of these characteristics.

In British society for sure, we talk about race too much but the class disparities are deeply rooted and pervasive. The 'establishment' wealth remains largely inaccessible to most British folk. In fact, the City of London has its own government, mayor and independent police force.

Worthy a read:
https://www.newstatesman.com/economy/2011/02/london-corporation-city

i think classism is the largest and most opressive systemic issue that needs to be fixed. class definitely goes hand in hand with white supremacy though. lots of intertwining goes on there. but i think class is more incompacing than race. not everyone can be opressed by race, but everyone can be opressed by class if you get in some money trouble. classism can literally effect every single person if they have one horrible day or were predisposed to be poor.
in dumb words; its not like a white person can become a racial minority. but everysingle person has the chance of becoming poor.