The truth that no one likes to admit is that neither were that right wing.
Bush talked up a big evangelical game, but I think it's silly to classify someone as right wing because of their religious/cultural views (Jimmy Carter, anyone?). Bush was rather conservative on social issues like gay marriage (he arguably single handedly MADE this a partisan issue) and abortion, but he was moderate to even liberal on immigration reform, he certainly wasn't a slave to small government or states' rights (which many on this board seem to think is a "conservative" thing) and his compassionate conservatism would be viciously attacked by the Tea Party.
Reagan is seen as this great conservative insurgent, and he really delivered a huge chunk of Southern Whites into the GOP with his emphasis on moral conservatism (no, it wasn't just the ever-growing-in-legend "Southern Strategy") and being strong on national defense (another thing we all just decided at some point was a "conservative" position. However, he okayed an assault rifle ban, passed immigration reform and raised taxes while in office.
If you're a liberal Democrat, a lot of people are going to seem "right wing" to you who quite simply aren't.