Yes, Muslim Brotherhood would likely be their choice.
My guess is that the Biden Admin will continue to heap different pressures on the Saudis.
The prospect of a Peace Deal with Israel seems very unlikely now. I expect that we have seen the last of those, while Biden’s handlers hold the reins.
Pressure the Saudis? Best way would be to ramp up oil production. That won’t happen. I don’t know how much leverage we have with the Saudis. They don’t need our money, they may like our weapons but we have to sell them to someone so they can play us off against other arms providers. A Saudi Israel peace deal might be less likely, but with a nuclear Iran possible in the near future countries in the region may well ignore our pressure and deal with the situation themselves. Which is better anyway.