“My point is that administering justice is a purpose also. Ha’SHem has a hanhogah of Judgement also, not only of Kindness. He can set whatever rules he wants. If it is all love, love and love, let the cleansing be completely painless!”
You are right that it is painful because He is administering justice which comes from gevurah. If it was just chessed it would be possible. But Chassidus teaches that gevurah comes from a deeper place than chessed and it is a deeper chessed if you will. Tigbores hachessed. But since it is so intense and strong we experience it in a negative way ie as yissurim or gehennom etc. But Hashem only does it because He cares for us so deeply to make us the best we can be.
“P.S.: and those who burn forever, according to you, what is the purpose and where is the love?”
Answer 1 (cop-out): were discussing gehennom where the max is 12 months.
Answer 2: every Jew will be redeemed eventually. Lo yidach mimenu nidach.
As far as wicked goyim that’s another case. They’re not Hashem’s beloved only child and if they start up on His children they deserve what they get. He cares for them too, as CA brought, but not in the same way at all.