From my outsiders perspective, I'd say Warwick is significantly less left-wing/radical than other Universities. When I was on campus during the elections last year, they seemed to have a relatively active conservative society (which is more than there was at Sussex, where I studied), and there's certainly something of a reputation as a University focussed on jobs and the commercialisation of education, coupled with student apathy.
As I say, I have this mostly from second hand or general outsider's impressions... Mind you, I doubt there are many universities where you'd actively be bullied for being a conservative pro-war/army type, but if you can't handly rigorous debate about your opinions, you should probably re-consider whether you want to go to University at all...