Stopping without brakes?

Yes. This happened to me. (read about it here: Not your typical locked brake problem) To summarize 200 posts, here is your to do list:

Check the hose between the reaction valve (on the end of the master cylinder) and the rear section of the servo. Since the master was replaced, it’s possible that the clamp was insufficiently tightened, or the hose was damaged in the process. I’d replace that hose as a matter of good practice. If that doesn’t fix it, remove the plastic reaction valve (careful not to lose the screws), but leave the round plate in position. insert a thin tool into the hole in the center of the plate as far as it will go and hold it there with light pressure. Have someone press on the brake pedal. You should feel the pressure in the cylinder working against you, you won’t be able to hold it back. When the brake is released, the piston should go back smoothly. If this isn’t happening, the master is garbage. If it does happen, you’re going to have to rebuild your servo/slave assembly.

Whatever you do, DO NOT continue pushing your car through resistance. Driving with your brakes engaged will damage your calipers.