phenibut is a gaba B agonist and a gabapentinoid, similar to GHB. At very high doses it is thought to have some gaba A agonism as well. Gaba A receptor is where benzodiazepines bind and register their effects.
So, they both bind to gaba but at different sites. IME, there is not cross tolerance per se, it feels to me like drinking alcohol and taking benzodiazepines.
I have a long time clonazepam Rx and had a good month long run with phenibut daily doses of 2.5 grams. As stated above, be careful. I've never experienced a withdrawl quite like that and I've kicked IV heroin and cocaine, plus multiple Rx, alcohol addictions. Phenibut wd gave me the worst panic episodes I have ever experienced. I barely slept for a week. it put me in my place real quick. took a day or two to realize what was happening. At first I didn't believe it, seemed too intense for such a short duration of use. Not to mention I was still taking clonazepam daily. But it was absolutely pheni withdrawal.
because phenibut last so long in the system, WD effects often don't present until 48 hours post last dose. So two days of not using phenibut and I became increasingly ill and anxious.
now I use phenibut twice a week or so at doses of 750mg to 1gram to synergize with other meds. I don't drink alcohol so pheni is my special treat a few times a week after work.
short answer: you can use both, just be careful and lower your dosage of alprazolam if you plan to mix. There may be some cross tolerance but general tolerance and addiction to phenibut would be on my mind a lot more than alprazolam tolerance.
Be safe!