NO, NO, NO!!!!!!!!!! Hydraulic brakes were developed before we had hydrocarbon resistant rubbers. They used poly glycols as fluid because they were too polar to be absorbed by natural rubber and swell it. Unfortunately it is hygroscopic, absorbing water and lowering its boiling point and making it corrosive. A problem, perhaps not as bad as many here fear, but a problem.
To this day, brake systems use cheap rubber that swells if you get a hydro carbon even near it. Obviously, the hydraulic systems have solved the problem. In fact some industrial brake systems do use hydraulic oil.
If you had a source for hydrocarbon resistant cups, you could rebuild your brake systems. For any brakes that get hard use, look at the boiling point too. I think higher boiling hydrocarbons may have higher viscosities. Don't even think about converting more complex systems such as a Hydrovac.