We can see things moving faster than light

None of this makes logical sense and I will explain why with a simple loop and a couple real-world examples. 
It would be like Usain Bolt 32 feet in front of a turtle on a race track. Usain has a starting speed faster than the turtle. Each step Usain takes, he gets faster and faster. The turtle has a maximum speed. Even though they are traveling in the same direction, the turtle can never catch up to Usain. Usain will beat the turtle even if the race was 1 foot long or 100 million miles long. Usain has 3 advantages 1) A head start 2) Faster starting speed 3) The ability to accelerate. Another example. You have a list of chores. Every time you complete a chore, your partner puts 2 more chores in the middle of the stack. This is identical in analogy to the expansion of space. You can never complete the list.

Assume galaxy distance is 32b LY away (her claim)
Assume each loop takes 1 year to complete (1 light year per cycle)
Assume that distance increases by a given acceleration rate (supported by hubble)
Assume that the acceleration rate also increases as distance increases (supported by hubble)

distance = 32000000000
acceleration = 1
Do until distance = 0
acceleration = acceleration + 1
distance = distance - 1 + acceleration
Loop

As long as acceleration >= 1, distance can never = 0

TLDR; As space increases, the amount of space required for the photons to traverse also increases. Once the increase rate exceeds the maximum speed of a photon, the photon will be moving in our direction but increasing in distance. Like being swept away by a tide even though you're swimming toward a beach. In simple terms, no matter how many times you add 1, if you keep subtracting 2, the number can never increase. You can try to add 2, but physics won't allow it. And even if you could, physics also not only allows you to subtract 3, but requires it. In the simplest terms humanly possible.... distance = distance + acceleration