There is a split in conservative thought. Some of them are clearly against Child traffic and Underage Rape.
There are two strong divisions now. One side thinks rape, exploitation and slavery are all fine and dandy but doesn't want it said out loud.
The other side draws the line at Underage Rape and White Slavery especially if they think Democrats are involved.
This is a nuanced thing though. when the Duck Dynasty head, Phil Robertson advocated marriage to 15 and 16 year olds, it was controversial, but the a lot of the Republican base had few issues. I think I recall his having an even younger age stated earlier on, but I can't find a source to support my vague memory. Here is a source for what I can find. https://www.cnn.com/2013/12/31/showbiz/duck-dynasty-phil-robertson-comments
In any case, a lot of Christian Conservative sources are happy to excitedly tell you about his apparent virtues. Google him and you will find a lot of websites still praising him.
So a lot of Republicans, but not all, are tolerant to the thought of what most of us would call a child marriage. Sure seems like grooming and statutory rape to me, but I'm a bit woke so I don't think abusing and exploiting the weak is a good thing.
Defining a child is where it gets complicated. https://en.wikipedia.org/wiki/Child This is where Conservatives start finding places to try and bend the rules. When they start twisting around what is meant by pedophilia, then you can pretty much be assured they are without normal moral restraints. While there are divisions in some definitions of pedophilia, the use of them is not common. So there is an understood meaning to pedophilia that might not match with the definition that some psychologists would use in some situations. Remember that there are a lot of different schools of psychology, and the most generally accepted terms may become obsolete or strongly altered from time to time.
The same word can have different meaning in different fields. Law, psychology, biology, medicine and normal speech can all apply to this subject and all of them have examples of words meaning specific things that do not match in the other fields.
When you combine the acceptance of child marriage with the philosophy of White Supremacists you end up with a father able to sell his young daughters into abject slavery as long as you call that slavery marriage. So child traffic of white girls ends up being perfectly acceptable to them if you use the right language and follow procedures. There are however Republicans who have issues with marrying children.
In normal speech we have a general agreement on what pedophilia is. There are nuances, but when it comes to raping girls who are not legally adults, most of us agree that we can call the rapist a pedophile.
This is our current strong division in Republicans. This is one area where we can find agreement with a lot of Republicans. Economics is second. Most Republicans who don't have tons of money or a political office will agree that the wealthy should pay taxes. That is the second area where we can find strong agreement. As a third division, Fascism, Hitler, and Nazi's are not yet beloved across the board. Some Republicans still feel strongly about the constitution and democracy. While the crypto-fascists want to brand liberals as Nazis, people who wear pro Nazi fashion wear vote MAGA. In any MAGA crowd you are going to end up seeing a bit of Fascist merch. This gives us three strong places where we might find common ground with a conservative.
So if you are stuck at a dinner table with a conservative who insists on pushing conservative points, you could always start in with, "You know what really bothers me..." It is possible that you might find out that he's a Groyper and you have a good excuse to leave the table. It is also possible that you could fake answer your phone and turn it on to record. That might really end up being fun. Be sure to have your phone ready if he starts getting really riled. That could go viral.
But there is also a chance that they might find out that they had more in common with rational people than they do with conservatives. They might even discover that the everyday liberal isn't what they thought all liberals were.
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The latter will be the America First-ers, an avenue for maintaining all the MAGA loons and merging them into the fascist GOP
and their views on women and children being submissive to men. The people who actually run Rethuglican politics these days. Modern fundies will try to dance all around Ephesians 5:22, 1 Peter 3:1, 1 Timothy 2:12, 1 Corinthians 11:3, Titus 2:5, ad nauseam, but it says what it says and fundigelicals believe and practice what it says.
Woman are to keep their mouths shut and have no authority over men whatsoever....
1 Timothy 2: 11-15 11 Let a woman learn quietly with all submissiveness. 12 I do not permit a woman to teach or to exercise authority over a man; rather, she is to remain quiet. 13 For Adam was formed first, then Eve; 14 and Adam was not deceived, but the woman was deceived and became a transgressor. 15 Yet she will be saved through childbearing—if they continue in faith and love and holiness, with self-control.
When you have people who firmly believe such bullshit, it's not a terribly far stretch towards what amounts to underage trafficking and rape. After all, a woman's purpose is simply procreation and doing whatever the hell she's told - so the Evilgelicals believe. Sure, those verses tell men to "love their wives as Christ loves the church", but there's no safety valve mentioned for women if men don't. "Boys will be boys" they say. Such bullshit. 
Post script... This is the reason they hate apostates like me so much. We know the playbook and they ain't fooling us one bit.