You are mixing up cause and effect. He had a broad appeal because he was conservative, not the other way around. GEEEZ.
No, some people voted for Reagan in spite of the fact he was conservative because they liked him personally. You had the same thing happen this year...GOP folks told me that they would vote for Obama...”he’s to liberal, but we like him”...not kidding.
There is another aspect to the GOP losses not discussed...competence. The GOP is seen as incompetent by many right now. Even many in the GOP did not think Pres. Bush did a good job...this has rubbed off on the Republican party.