If you want to espouse political positions and associate those positions with Michael Steele, fine. Just don't attempt to align those values and beliefs with those of Reagan. Not for a moment.
Reagan believed that if people wanted to join the GOP and/or help advance the conservative agenda, that was fine with him. That is not what Steele is talking about.
Steele is talking about expanding the GOP base by accepting the liberal Democrat position on gay rights and abortion rights.
Reagan opposed minority special rights and was adamantly opposed to Roe v Wade and abortion on demand as the policy of the US government.