World War III already ended... the next one would be WW IV.
WW III is the correct term to define the US vs USSR by-proxy wars. Actually they caused more havoc and victims than WW 2...
I think people only consider a World War when people actually engage each other.
We will have a WW III when you see USA flying people to Russia or Russia flying people to USA (or something like that).
"Helping" in civil wars, is not really what I count as a World War. (although it DOES cause much havok... here in Brazil is common to some person lament someone that went missing after being even suspected of being pro-Russia)