I don't know, because a reasonable person might assert an opinion untill somebody explains why they are wrong or they otherwise question the validity of their opinion. It's why politicians like to flip-flop on issues and why they tend to behave more moderate and compromise more once they are actually elected. I think the US system is designed to do that, with everyone reaching a reasoned compromise or only agreeing on nessicary actions, while shooting down each other's more ideological or extreme legislation. Is basically why the system is actually sort of broken right now, with parties refusing to cooperate on anything.
So really, an uncompromising, completely consistant politician is only a good thing if they happen to be exactly correct with every stance they take or otherwise that politician will be ineffective, because everything he does will just be countered by the opposition and he'll just spend his term trying to shoot down everyone else's ideas. Sort of how I imagine Ron Paul to do if he was president. He'd sit there and veto everything that reached his desk and congress would kill everything else.
Also, mandatory voting is probably a bad idea. Mandatory education for voting would be to controversial, since people would claim it would be biased to one party or another and maybe it discriminates against dumb people or something.
I'd just make the polls open on Saturday, or make it a national holiday on a friday. More people would vote if they had the time.