Clergy visits are completely different from family/friend visits. The two have nothing to do with each other. Clergy does not visit an inmate through the video visitation center. They visit the inmate in person at the actual jail. Those visits are usually requested by the inmate - which, if you think about it, is the only system that even makes sense. And clergy are not restricted to 45 minute visits, either. In the article that was posted earlier on this thread, it stated that Casey's clergy visit lasted for 3 hours, so obviously clergy visits have different rules than family visits (I have to wonder what Casey wanted to talk about for 3 hours!

).
If you really need a link, here are a couple of links to prison ministry websites that state that inmates make the visitation requests. I picked ministries that were specific to Orange County, Florida. I don't want to spend my whole day looking up this info... so if you need more than this, you can find info from religious organizations, ministries, or even just call the jail and ask about clergy visits.
The jail does not include information about clergy visits on their website, so if you want official confirmation, contacting the jail directly is the only way you're going to get it.