need make and model of the dell ,the mini, the lcds.
need to know what kvm switch. Also need to understand if you want to drive 2 lcds via vga on the mini or the dell .
or do you want to drive 2 vgas on the dell and sometimes drive 1 vga on the dell and one on the mini.
the short answer is it will work with some mac minis better then others if you only want 1 vga . if you want 2 vgas on the mini not every mini will do it. Also the kvm switch need to be good quality as minis can be tricky supporting vga.
my 2010 mac mini runs display port to vga fine. my 2010 mini does not like hdmi to vga . if I run snow. if I run lion it does both.