Reagan's history of being pro-immigration goes beyond just the 1986 Amnesty, which was a true amnesty, not this misuse and hijacking of the language you guys refer to as amnesty. Perhaps Reagan thought the 1986 legislation was a mistake since the promised enforcement never came about, (though I never have heard or read anything out of his mouth to that effect) but I have no basis for believing he turned against his decades long beliefs in immigration and guest worker policies.
In the 1980s despite that amnesty talk to anyone who lived in Southern California and they'll tell you there was immigration enforcement, far more than you see today. The border patrol routinely did interior sweeps and the police helped out. It was nothing like now where enforcement is practically nonexistent. Reagan was pro-legal immigration, I think you'll find most Americans probably are and it's a big difference.