I'm not American so I don't identify with particular "political party" but I think I'm leaning a bit left. So I'll just list my stances that might be somewhat opposite the left's.
Death Penalty: Yes but as a sort of final resort and only after allowing several years of appeal.
Abortion: Only within the first term for cases like rape. Anything further than that only due to medical emergencies. Must have the father's consent IF possible.
Divorce: No no-fault divorce. And each person should be able to at least keep whatever he/she had before marriage.
Guns: No outright ban but they should not be available in places like supermarkets.
Unions (in certain professions) - I don't think that there should be unions in government related jobs, such as the police force, fire department, teachers, state workers, fed workers, and so on. Because if these people are to strike, they're going to have the upper hand in negotiations because they can cause a large amount of damage to the public good. Unions should be allowed elsewhere though, not forced labor unions though -- people should willingly be joining.
Unions are allowed in every profession except management related jobs. The purpose of a union is to collectively communicate with management, and management cannot use a union to communicate with itself.
If an employer effectively communicates with its employees, pays a competitive wage and treats its employees well, most employees will have no reason to want to join a union.
Weren't there instances where unions have effectively either dropped the quality of work or destroyed an industry? At least that's what I heard.