Rick Perry definitely is an Eagle. Mitt Romney was a Scout, but I do not believe he achieved Eagle (It is not surprising that he was a scout since he is LDS).
Eagle scouts can be anything they want to be or can have any talent they want. -- There are a lot of former scouts who are singers, but doesn't look like Eagle Scouts. The links have lists of famous scouts who became singers.
each party nominated presidential and vice-presidential candidates
No, but many have been Scouts.
181 NASA astronauts were involved in Scouting, and 39 are Eagle Scouts
The BSA has not released detailed statistics on Eagle Scouts by age, race, ethnicity or religion.
Do the voters elect electors not the presidential candidates
Richard M.Nixon/Spiro Agnew George McGovern/R.Sargent Shriver
national conventions for nominating presidential candidates.
The BSA has not released any data on Eagle Scouts by age.
There was no Presidential election in 1950.
Utah
The United States has sent 312 people into space. 39 of them are or were Eagle Scouts. 207 of them had some scouting experience.