To get my nose in way too far in someone else's problems
「他人の問題に深入りする」は
To become too deeply involved in other's problems
To get my nose in way too far in someone else's problems
のように表現できます。
「深入りする」は
to become too deeply involved
to get one's nose in way too far
と言えます。
例:
It's always risky to get too deeply involved in another person's problems.
「他人の問題に深入りするのは危険だ。」
ご参考まで!