Looks like your two tests conflict. The political compass says you are moderately conservative if I remember the scoring correctly. The truth is probably between the two somewhere. Though it is really fun to take the test every few months to see how your views might have changed. Within the last six months I did a complete flip on economic issues.
I'm not sure the Political Compas is a very good test. I come out:
Economic Left/Right: 6.75
Social Libertarian/Authoritarian: -0.31
whereas the WSPQ I'm a 100/100 Libertarian.
There are a lot of social/moral value type questions that if I thought it was the government's job to handle would make the test accurate. For example sex outside of marriage is immoral, I strongly agree, but I don't want the goverment telling me what is moral or immoral.