Looks like the power for the servos is being drawn through the board.
They will need their own power supply.
Leave the ground from the Uno to the breadboard, but remove the power.
You need an external power supply that provides at least a couple of amps at 5V.
You need to feed that power supply into the breadboard rail to power the servos, the ground wire you left connected is the signal ground.
Don't turn it on yet.
Next, your switches are backwards and will feed power from your new power supply into your board and that's no good. Even though they work in the sim it's not a good idea in meatspace.
Instead of connecting your switches to the hot, you can connect them to the ground and you can eliminate the resistors.
Instead of setting them to INPUT, you need to set the pin mode to INPUT_PULLUP; that uses an internal resistor to make the pin read high unless you connect it to ground by activating the switch.
This means if the switch reads high then it is off, but if it reads low, then it is on.
if (digitalRead(5) == LOW) {
// switch is on
}
// or
if (digitalRead(5) == HIGH) {
// switch is off
}
There may be more issues, but that's a start.