ふと => suddenly; accidentally; unexpectedly; unintentionally ~ N3
ふしがある => Seem N2
Speculation
むき => facing towards N3
Direction
~こういうふう => like this N1
Means and methods
ふとした ... => unexpected / incidental / little bitty N2
Expected
...はむりだ... => impossible N4
Description
むしろ => rather; instead N2
Compare
込む => to be crowded N3
なくて済む/ないで済む => get by without doing ~ N2
~ふり(~振り)      => to pretend; to act as if N3
ふりをする => to pretend; to act as if ~ N3
を[踏「ふ」]まえて => Thinking of A N1
Based/focused/depending on