I don't think we're going to get along because we think so differently.
この場合次のように言うのはどうでしょうか?
ーMaybe we shouldn't see each other anymore.
「私たち、もう会わない方がいいかもしれない」
ーI don't think we're going to get along because we think so differently.
「私たちは考え方が全く違うから、うまくいかないと思う」
to get along で「仲良くやっていく・折り合っていく」
ご参考まで!
I think we should go our separate ways.
I don’t feel we’re a good match.
I think it’s best for us to stop seeing each other.
・**go our separate ways**
直訳は「別々の道を行く」。恋愛関係でも、人間関係でも使えるやわらかい別れの表現です。