If you don't want to respect the person who the minutes silence is for then hold your own respectful silence for the people that you loved. That is what I do, there have been a ton of silences for people that I had never met, some famous people I didn't necessarily like but I stood there and thought about people I have lost. Just simply treat it as a personal moment of reflection or maybe just think of what you are having for tea later.
I have actually had the unfortunate scenario where there was a minute silence at the football for my Dad, it would have absolutely destroyed me if even one person boo'd or disrespected it in other ways. You don't need to be brainwashed to be respectful of other people and be silent for one minute, even if you are not thinking of the person it is intended to be for.