Since intelligent design is itself shielded from falsifiability (you cannot prove or disprove the existence of an invisible intelligent creator), irreducible complexity became one of the focuses when intelligent design went on trial in Kitzmiller v. Dover Area School District.  In the Judge's final ruling, he states,

"...on cross-examination, [the lead witness for the intelligent design movement] was questioned concerning his 1996 claim that science would never find an evolutionary explanation for the immune system. He was presented with fifty-eight peer-reviewed publications, nine books, and several immunology textbook chapters about the evolution of the immune system; however, he simply insisted that this was still not sufficient evidence of evolution, and that it was not "good enough."