Do unto others as you would have them do unto you...
“...the Abkhazian Orthodox Church”
As +Alexey of blessed memory pointed out, there’s no such thing.
“Should Russian Orthodox priests therefore be expelled from Ukraine and Georgia?”
You misunderstand the ecclesiology of the Orthodox Church. Ukraine is part of the jurisdiction of the Russian Orthodox Church, though there are, I believe, two schismatic groups there claiming to be the Ukrainian Orthodox Church. I doubt there are many, if any, Russian Orthodox priests in Georgia as Georgia, and Abkhazia and South Ossetia are in the jurisdiction of the Georgian Orthodox Church. Any Russian priests functioning there are doing so with the permission of the Georgian Church.