It's not as black and white as that. Reagan was probably the last conservative president that made an effort to work with groups opposed to his own ideological positions.

For example, have a listen to his 1983 Address to the Nation.

Be careful, also, to view him in context of the era he was active in. It's tempting to judge historical figures' actions in a modern context, but that dramatically alters the nature of what they did and why.