Yes practically
Technically no
You lose the ability to gain miracle dice
"Note that Miracle dice can also be gained via other rules. No matter the source, you can only gain Miracle dice from such a rule if every unit from your army has the ADEPTA SORORITAS keyword (excluding models with the CULT IMPERIALIS, AGENT OF THE IMPERIUM or UNALIGNED keywords)."
You don't actually lose the acts of faith rule or the ability to perform them it is not an army wide rule it is a datasheet specific rule.
But you can't perform acts of faith without miracle dice
The debate comes with incensure cherubs
"Once per battle, at the start of any phase, you can roll two D6 and discard one of them. The value of the remaining dice is the value of this unit's Cherub dice. Until the end of the phase, this unit can perform one Act of Faith (pg 91) using that Cherub dice as if it were a Miracle dice. If a unit has a Cherub dice at the end of the phase, it is discarded."
Which are used in performing acts of faith as if they were miracle dice while not actually being miracle dice further emphasised in the leap of faith mission
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