What are the odds that the brokerage houses collapse?

I watched some of the FDIC meeting from the other day, and I'm pretty scared about what 2023 will turn out to be like. They blatantly talk about a run on the banks and using people's funds to “bail-in” the banks.

What are the odds that the brokerage houses collapse if we see things getting worse for banks etc?

90% of my net worth is in stocks, and I'm kinda afraid of losing it all if the brokerage houses go under.