No.
Most voters who used to lean Republican stopped voting for them after the Christian Right began to take over the party in the 90s. In fact, the Christian Right wasn't even a factor until Reagan courted them in the 80s as a swing group. problem was, somehow the swing group got control over policy and this has led to the downfall of the party.
There are far more voters who want fiscal responsibility, smaller government, and less intrusive government than who want the government trying to impose some moral code on the nation, as well as the truly ridiculous crap like teaching creationism in science classes.
The problems in the Republican Party go deeper then that I’m afraid. The Republican created image of Reagan as a hero and icon is ultimately a game breaker for fiscal conservatives, even if they don’t realize it.
The whole “do like Reagan did it” thing is a problem because Reagan rang up the largest debt growth (relative to GDP growth) of just about any US president in history. Any attempt to emulate him will inevitably run afoul of a true fiscal conservative.
Consider this. Republican untouchable programs like defense, the war on terror and homeland security make up 60% of the US discretionary budget. You would need to cut every dime from every other discretionary program just to balance the US budget with cuts yet the party line is still “lets make government smaller to pay for tax cuts”. I.E. to balance the US budget by “making government smaller” without touching defense you would need to completely eliminate the Department of Health and Human Services, Department of Education, Department of Veterans Affairs, Department of Housing and Urban Development, Foreign aid, Department of Energy, Department of Agriculture, Department of Justice, National Aeronautics and Space Administration, Department of the Treasury, Department of Transportation, Department of the Interior, Department of Labor, Social Security Administration, Environmental Protection Agency, National Science Foundation, United States federal courts, Army Corps of Engineers
One you get past the campaign slogans the Republican Party in action is going to fall completely flat with real fiscal conservatives. Increasingly the true fiscal conservatives are finding a home in the right wing of the Democratic Party and so far the Republicans have been content to hand the real policy issues to them. Painting the Democrats as “leftists” is only going to go so far as the completely untenable position of Republican dogma becomes more and more apparent.