Personally, I don't think there is any inherent contradiction in being both "progressive" and "conservative".
To me it means being socially progressive but economically conservative, and in terms of being progressive, it means seeking change in a pragmatic and cautious manner. Slow and steady can win the race.
Being Liberal on the other hand means being sometimes reckless, which can be upsetting and dangerous.
There is really no difference between a red Tory and a blue Liberal.