If you're unaware, KKE is the last remaining old-style Stalinist party in Europe. The median age of its Politburo is in the 70s. The leadership have repeatedly denounced SYRIZA as revisionists and splitters (SYRIZA left KKE in the 90s to form a new party) and refuses to work with them in any way. A few years ago, when KKE joined with the police to beat the hell out of protestors, a lot of the people they were beating on were SYRIZA members and voters. The two do not play nice.
Those clashes took place in 2009, when ND and PASOK were still the largest two parties and no one had any idea who, if anyone, was going to break the two party system. KKE and SYRIZA were both minor parties competing with each other to see who would lead the left. That battle is over now, SYRIZA won and the dynamic is now changed.
You really don't know anything about Greek politics then.