So, does the water from the washer and stationary tub flood the basement or is the foundation drainage system tied into the sump basin as well?
If it's just the washer and stationary tub, you could plug the washer into a float switch in the sump basin so it turns off the power to the washer if the water level in the basin gets too high. The tub shouldn't be a problem since I'm guessing you wouldn't use it if the the pump was out.
Alternatively, you can install a battery backup pump in the basin so when the primary pump fails or the power goes out, the backup pump will take care of the water.
Unless you requested they pitch the entire basement floor to the drain, there shouldn't be any special pitch to the floor. The goal should be to get it as level as possible all the way around the basement but that's almost impossible. You're always going to have some low spots and high spots. Even a fraction of an inch low will cause the water to pool in that location.
I'd install a backup pump. I have a 3337 sq ft basement in a new house I'm building. Ground water is not a concern but just in case I installed 2 basins and just purchased a 1/2 HP primary pump with a 3300 GPH Wayne Emergency Battery Backup Pump Model #ESP25. Northern Tool currently has the ESP25 on sale online.
If it was me, I'd also remove the floor drain and seal the hole with hydraulic cement. I'd them install a water a few water sensors on the floor hooked to a shutoff valve on the water line coming into the house. This way, if you have a pipe burst, the sensors will detect the water and shut the main line off.