I have always cut all my lumber on the table saw. I do have have a nice table saw and always a stickler for a good fence and very much of a stickler at setting the fence very accurately correct.
Not setting the fence correctly can cause bad cuts and be very unsafe.
I make my own table inserts out of HDPE plastic, because the saw is used in business by employees we have a SawStop brand for the obvious safety feature that they incorporate.
I have always used the fence and homemade push boards, I was at one of the large tradeshow that my company exhibit in, I saw a quite unique tablesaw fixture that is made for ripping thin material.
I purchased one of these fixtures from the Rockler booth at the NGRC in Atlanta. Not sure if I would like it or not. Now after trying it, I do like it and would recommend to all people that would like to try cutting their own thin scratch built lumber for their own projects.