This is a question that needs to be broken apart.
How can Republicans overcome self funding celebrities or popular businesspersons?
Why would we?
A celebrity or popular business person begins with one or two the most valuable things in politics – name ID & money.
If a celebrity brings multi-millions in name ID then that is money a campaign can spend on other things other than establishing a bio.
For example, I don’t know Tim Tebow outside his press, but if he wanted to run for a Congressional seat in NW Florida, he would start with a massive advantage. He would start on third base and sometimes depending on context that is enough. Would he be a good candidate? No idea.
If a self-funding popular business person brings millions to the table that is valuable time a campaign can spend on other things. Early money is one of the largest early strategic advantages a campaign can have.
I think what you are really asking is how can we overcome running terrible self-funding celebrities or terrible popular businesspersons, right? The answer is stop supporting them.
How can Republicans become the party of the majority again?
In some places the Republicans are a majority and in some places even a super-majority, but I think you are asking about national / presidential politics.
A multi-part answer:
- Better candidates: As we have seen, and will likely see today, name ID combined with terrible candidate quality isn’t a great combination.
- Govern: The American people want their government to look slightly better than a middle school cafeteria food fight (well most of us do). A Congress that can govern would go a long way.
- STOP the stupid shit: Stop enabling the antisemitic, racist, 4chan crowds.
- Suburban Women : right now this seems to be the vote most in flux. They are picking of the less of two scary versions and you never want to mess with moms.
- Embrace the Democrats mistakes. As they have shown, there will be many.
Conclusion
Celebrity or self – funded candidates aren’t necessarily a terrible thing, and they can offer tremendous advantages. Let’s just stop picking and promoting terrible ones.