Twisted, My Friend: Why must Yidden fight with each other? This is the last thing what Hashem wants.
I think the Baal Eim Habanim Simacha was a very sincere/emesdika person; it was out of his genuine love for Erez Yisroel [and also his true love for other Yidden to give them new hope after the Holocaust], which might have caused him to err somewhat when searching for leniencies in halacha to allow Yidden to establish a state. Like it says in Pirkei Avos “Ahava Mekalkeles Hashura”.
Likewise, the Satmar Rav Zt”l, out of his real/deep concern to reestabish authentic Yiddishkeit after the War, he might have gone to extremes, (like with his verbal attacks on the State well after its establishment, such as stating that the victory of the six day war was the act of the “Sitra Achra”!) I think if the Rav Zt”l would see today how the Chareidim have reestablished themselves so successfully and securely in Israel; he would probably feel that now the time might be ripe to strike a conciliatory note to the secular establishment in Israel, that we are accepting of them (since dissolving the State is not an option anymore)and we are willing to live together in harmony.
I would also not be surprised if the Satmar Rav Zt”l and the Baal Eim Habanim Simacha are presently studying together Torah (hilchos EY) in Shamayim! Like the Gemara says “Es Vahav Bisofa”.