This is where principles matter. Principles are not affected by facts or misinformation.
For example,
Whether one is IDF fighting what they think is ‘Hamas terrorist’ or one is a Hamas freedoms fighter fighting an oppressive occupying force, whether you believe either sides propaganda, that doesn’t justify murdering civilians, dehumanising them, give cause for abuse of POW etc. Allaah said in the Quraan
یَـٰۤأَیُّهَا ٱلَّذِینَ ءَامَنُوا۟ كُونُوا۟ قَوَّ ٰمِینَ لِلَّهِ شُهَدَاۤءَ بِٱلۡقِسۡطِۖ وَلَا یَجۡرِمَنَّكُمۡ شَنَـَٔانُ قَوۡمٍ عَلَىٰۤ أَلَّا تَعۡدِلُوا۟ۚ ٱعۡدِلُوا۟ هُوَ أَقۡرَبُ لِلتَّقۡوَىٰۖ وَٱتَّقُوا۟ ٱللَّهَۚ إِنَّ ٱللَّهَ خَبِیرُۢ بِمَا تَعۡمَلُونَ﴿ ٨ ﴾
“You who believe, be steadfast in your devotion to God and bear witness impartially: do not let hatred of others lead you away from justice, but adhere to justice, for that is closer to awareness of God. Be mindful of God: God is well aware of all that you do.”
Belief in one’s own propaganda should never lead one to commit crimes.
I support the Palestinians simply because they are an occupied people in occupied land. Nobody on planet earth disagrees with this besides Israel and USA. One can argue all they like, but this is a statement of fact. Not opinion. There are objective facts in the ground that one cannot ignore no matter how much one wants to