To my ears, and to the ears of many other native speakers, it would sound better as: to not alienate… It’s like a negative infinitive, so the negative should go next to the actual verb, not the preposition. I associated the preposition with the preceding verb as if it were a modal. I hear it as “manage to” rather than simply “manage.”
But this is not the case. The verb “manage” does not require a preposition. It simply requires a direct object. Therefore, if the thing being managed is an action, it is a verb in the form of an infinitive.
This is not a case of obeying the old canard not to split an infinitive. That would apply to the use of an adverb. In this case the negative is placed before the verb, and the verb includes the preposition “to.”
I hope I have managed to explain this clearly. I also hope I have managed not to offend.