Welcome to the forum Erik. If you want to use your TS fence for a router fence you hve to add something like Jeff is showing, that adds another face to the fence with a gap in it and enough distance between the new face and the side of your TS fence that the bit won't touch it. The other issue I'll point out is tat to start a cut you have to start at the backside of the saw. If the router is mounted too far from the end of the saw to stand at the end that means you'll be reaching across, either when starting or finishing the cut, which isn't safe. Some members have no choice because of space issues and have to but it will lead to issues when you need to use either the saw or the router and yu don't want to change the setup on the other. If you have space for your saw and a table then don't do it.
If space is limited there are other options. One member at least just has a flat panel that that the router is attached to or has a removeable plate in it and the panel just sits on a Workmate that is opened up all the way. Some cleats on the bottom of the panel on the sides and ends keep the panel from sliding around. When you're done with it the Workmate folds up and the panel sits against a wall.
I also built one with folding table legs this summer for my son who has storage issues. It is only about 6" thick when folded and could be made narrower if needed. Pictures of it are in my uploads.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.