Some progress and success.
My set up :

I used the old tube to make the fork geometrically correct and the whole is tightened properly with the correct torque.
and after heating up to 70°C ~ 80°C here I am :

There is even some play (I can't measure it)
And the yoke is not forced open by any mechanical method. Only some heat...
So I bet I won't need to grind the yokes, after all...
Some more pictures when the bike is reassembled...
Thank you all for your insight and help !