There is an "Independent Pary of Ohio", website address: http://theuniversalfoundation.com/tipooh.html
However, they don't run any primaries or, seemingly, get anyone on the ballot.
If there were 35-45% of registered voters, members of this party, One would think that there would at least have primaries.
I checked out the "Independent Party of the United States of America: http://theuniversalfoundation.com/tipusa.html
And, they seem to be just as weak.
Does the Independent Party run primaries, in your state?