They may have some pat answers to everything (not good or true, but y'know...available), and they may not admit to
you that they're stumped or they're doubting, but they're only there in the first place because they think they can plant a seed that will cause you to doubt your own religion, or at least start looking at Mormonism differently.
Well if they can (and they can, so make sure you know your faith better than they do before you let them in again), then you can do the same to them. Mormonism doesn't tell its communicants
actual history (either of Christianity or of Mormonism), but other sources aren't operating with the same 'faith promoting' strictures in place.
50 problems with Mormonism (short form):
50 more problems with Mormonism (long form):
Top 10 Mormon Problems Explained (very long form investigation):
I wouldn't recommend showing these actual videos to the Mormons (this is a mistake I've made over in the "Debate Other Religions" subforum of CF, thinking that Mormons are intellectually honest enough to actually take others' arguments as seriously as they wish for their own arguments to be taken, and...well, it's not that they're
dishonest, exactly, but they are trained very thoroughly from a very young age to dismiss anything that goes against what the Mormon religion tells them as 'anti-Mormon lies', and will do so basically reflexively, no matter what its actual pedigree), but familiarizing yourself with the issues they bring up (if you are not familiar with them already) well enough to where you can comfortably and confidently, but not arrogantly, bring them up extemporaneously would be a very good thing. Unfortunately YouTube did not exist when the Mormons used to visit my own family when I was a teenager (my father's then-wife became interested in the religion through her friendship with the contractor who was hired to work on the family home and instead spent a lot of time preaching Mormonism to her, so the missionaries came quite persistently after that), so I was not aware of these kinds of issues, but if I had been I would have definitely brought them up.
The way I see it, if you're willing to go into strangers' homes in an effort to spread your religion, you should be willing to answer difficult questions about it, especially by people who can present themselves as honest investigators. If they can't handle that, then they'll basically self-select themselves out of preaching to you, and the problem will fix itself.