Pcoz: I don’t think it’s a big deal. She just left out the word “Kav’yachol”. There’s an inherent Kav’yachol implied (I hope) whenever we talk about Hashem and just about any human feeling or emotion or anything so I don’t think it was Apikorsus. That being said, we should be more careful about how we speak and such.
SiDi: RSRH is just quoting the Rambam that Yemos Hamashiach won’t be anything different from how the world is right now, with the only exception that the Jewish people will be sovereign on themselves and not ruled by anyone else. He Paskens like Shmuel in the Gemara. “Ein Bein Olam Hazeh L’yemos Hamashiach Ela Shib’ud Malchuyos Bilvad.”
Kozov: I cannot answer for or say anything against the Ba’al Shem Tov, but much of Chassidish thought is probably Apikorsus according to the Rambam (mostly from Yesodei Hatorah, certainly if you read the Moreh). Which is fine. They have their Gedolei Haposkim and the Rambam’s Shittah in regards to Kabbalah has certainly not been accepted. But quoting a Ba’al Shem Tov to someone who is quoting Apikorsus according to the Rambam won’t get you anywhere. They’re two entirely different planes of discussion.