Wave Machine Project

Currently the potentiometer does not allow for a smooth increase in speed at all.

That is likely because you are using, blocking, delay() in your code. The Arduino does nothing during a delay() so cannot respond to input quickly.

Robin2's simple stepper code has an example using micros() for non-blocking timing stepper steps.

Non-blocking timing tutorials:
Several things at a time.
Beginner's guide to millis().
Blink without delay().

If you want to reverse the value from analogWrite() you can use:

reverseValue = 1023 - analogRead(analogInputPin);  //  analog read = 1023, reverseValue = 0

Read the how to use this forum-please read sticky to see how to properly post code. Remove useless white space and format the code with the IDE autoformat tool (crtl-t or Tools, Auto Format) before posting code.