Would it be a good idea to change my face wash? More inside(10 points to best help)?

I am using a daily regime that keeps my skin 100% clear most of the time. The products arn’t the main ingredient however in my prevention process. I also find changing my diet (taking out dairy and infalmmatory oils like sunflower& palm oil) has completely eliminated my acne problems. I don’t get acne almost ever anymore thanks to my regime and diet, but now i’m deciding weather i should change my cleanser.

My regime:
Morning: Neutrogena Scrub
Nighttime:Neutrogena scrub and then benzagel 5%

The diet and the benzoyl peroxide are what are really keeping me clear so i was just woundering if i change my daily face wash will it really make that big of a difference?
I find that i just don’t have a lot of time for my scrub because it works awsome and cleans well, but takes a long time to wash off and i just don’t have time like that in my scehdual so i end up getting ready even earlier for everything just so i have the proper amount of time to wash off all the residue off of my face. It’s frustrating somtimes so i was woundering i’ll keep the scrub to exfoliate like once in a while, but add a cleanser into my reg. that can fit in my life(meaning will wash off faster). I am thinking about switching to oil-free neutrogena cream cleanser. Its still the same ferm and has almost all the same ingredients so i’m just woundering will somthing weird happen to my skin if i change or will it not really make a big difference?

*Ps i don’t rely on the washes to prevent my acne i leave that up to the bp and my diet, but i use the washes for makup removal and wash off oils.. you know?..