I've seen some Orthodox before who don't really see how the Filioque is seriously heretical, so I'll explain it (mainly from Mystagogy of the Holy Spirit, by Saint Photius the Great) for those who don't know.
The insertion of the Filioque was justified in the West by stating that since the Father and the Son are one in essence, the Spirit must proceed from both (do not listen to Catholics who say the Filioque can mean from the Father and through the Son, the dogmatic Catholic understanding of the Filioque is that the Father and Son are a joint principle, that is, beginning or origin, of the Spirit). Saint Photius said the Patristic understanding is that the Spirit proceeds from the Father's person, not his essence. The idea that the Spirit proceeds from the Father's essence is incoherent, because that would mean the Spirit would have to proceed from himself (being one essence with the Father and the Son), unless he had a different essence than the Father (which would be bitheism, or perhaps a form of Macedonianism). This isn't just an argument about jargon, the distinction between person and essence is the very Patristic foundation of the description of God as both one and three, and extremely important for the Crucifixion (Christ was crucified in person, but not in divine essence, else the entire Trinity would be crucified).
Remember, the Filioque is not just what it says, it is an expression of a very different dogmatic understanding of the Trinity, one which is very much heretical.
The insertion of the Filioque was justified in the West by stating that since the Father and the Son are one in essence, the Spirit must proceed from both (do not listen to Catholics who say the Filioque can mean from the Father and through the Son, the dogmatic Catholic understanding of the Filioque is that the Father and Son are a joint principle, that is, beginning or origin, of the Spirit). Saint Photius said the Patristic understanding is that the Spirit proceeds from the Father's person, not his essence. The idea that the Spirit proceeds from the Father's essence is incoherent, because that would mean the Spirit would have to proceed from himself (being one essence with the Father and the Son), unless he had a different essence than the Father (which would be bitheism, or perhaps a form of Macedonianism). This isn't just an argument about jargon, the distinction between person and essence is the very Patristic foundation of the description of God as both one and three, and extremely important for the Crucifixion (Christ was crucified in person, but not in divine essence, else the entire Trinity would be crucified).
Remember, the Filioque is not just what it says, it is an expression of a very different dogmatic understanding of the Trinity, one which is very much heretical.