Hello Jerome,
You've mentioned FCP, do you mean Final Cut Pro. If this is the case, I use FCP when doing Video Editing.
To capture real time for FCP I've been using DV Monitor Pro
http://www.redlightningsoftware.com/Home.html and have been very please with it. Over the last month, I've filmed many shows and recorded real time on the hard drive using Dv Monitor Pro. In the same time I've recorded the filming on a DVD recorder Disk Drive (Pioneer 533H) and on miniDV tape. The whole thing is always plugged onto a UPC. I can only then enjoy filming, I've covered the angles as much as I could.
For doing, live video show, there is Wirecast
http://www.varasoftware.com/products/wirecast/ which can be used, I did not have to use it so far but only heard good thing about it.
Good luck!