First, I'd like to know who is that "new president" to vote for...
Shoigu? Medvedev? Or maybe even Kadyrov?
Zhirinovsky (the man who predicted almost exact date of the Z-day) is still in hospital with COVID-19 (there were even rumors about his death), so it's unlikely.
Honestly, I wouldn't share your optimism, nobody said these tensions are enough for an open confrontation between MoD and the Kremlin. For now, they're pretty much in the same boat. But even if Putin hypothetically gets overthrown by Shoigu, this won't immediately mean democracy, freedom, friendship with the West & all that BS. We've already been through this in 1993. Moreover, I'm afraid that pro-Western opposition (Navalny & his allies) might face even worse times than Putin's.