I think if you are applying for President you "should" take a relatively (whether conservative or liberal) and defendably moderate position, make it clear what it is and where you are flexible; and preach that as best you can to everyone, the full spectrum including those who are unlikely or surely not to vote for you, and explain why your chosen policies and positions are important to their lives and the lives of others.
Will it work? I'm not sure it won't.
I do think a candidate like that could win against the likely candidate on either side...but they would have to be an extraordinary candidate to even get off the ground in their own party (especially the current Democrats).
But you have 300 plus million people, over half of which are eligible to run...so it is more than possible...(though and last time you guys came up with Clinton and Trump...)
So there is hope...but more concern