Equal out bracket types

JavaScript (ES6), 79 bytes

s=>s.replace(/./g,c=>~(p=l.indexOf(c))?l[p&4?--k&3|4:k++&3]:c,l='([{<)]}>',k=0)

Test cases

let f =

s=>s.replace(/./g,c=>~(p=l.indexOf(c))?l[p&4?--k&3|4:k++&3]:c,l='([{<)]}>',k=0)

console.log(f("2#jd {¤>."));
console.log(f("abcdef"));
console.log(f("(3×5+(4-1))"));
console.log(f("<<<>><<>><<<<<<>>>>>>>"));