Here, I'll help you out.
Make the exact same argument. Only replace paperwork with "getting a search warrant" and replace mini-pedophilia with "drug."
Sounds like a pretty dumb argument, right?
I'll also say again, this isn't pedophilia - it's ephebophilia. Technically it's not even that: I doubt it has much to do with the fact that these girls are teenagers as the fact that they're at a convenient age to be married off and started on birthing children. The age of consent in Texas is 17. In Alberta, Canada it's 14. There are no standards for this. So some of these men aren't guilty of anything, depending on whether or not the 17-year-old wives in question choose to press charges.
I'll also say that there is a legal and actual difference between child molestation and statutory rape. The difference is that, in one case, the child is prepubescent and in the other case the young man and/or woman has gone through puberty. The men who 'married' 14-year-old girls are guilty of statutory (and otherwise) rape, not child molestation.
I know you (and the media) are intentionally misusing these terms to summon up more righteous indignation about what's going on in Texas, but all you're doing is weakening it.
Statutory rape = yes.
Aggrivated sexual assault = yes.
Child molestation = no.
Pedophilia = no.