If an agent of Interpol enters my house uninvited, or attempts to detain me, or otherwise acts to deprive me of my God-given rights, I will not feel bad about his death at my hands.
If Interpol were to investigate and collect information about it would likely carry out its operations in secret. You would never know Interpol had been looking at you until you were arrested by law enforcement authorities that had been provided the evidence Interpol had secretly collected about you.
Interpol is effectively a secret investigative service operating without judicial oversight on US soil.
If Obama had granted these same powers to the FBI there very likely would be open rioting in the streets.