No it is more complicated than that:
Conservatives should be Patriots.
The problem is, a whole lot of would-be Patriots are more anti-Union than they are pro-American.
So we have a solid portion of otherwise patriotic Americans who have sold themselves without question, to foreign business interests.
That is a (huge) problem, and America must find a way to get back American customers.
Soon.
Or else, America will simply cease to exist.
No, conservatives usually end up being anti-union because unions tend to devolve into radical liberal organizations that funnel massive amounts of money to far left political parties (in this country that would be the Democrats). Unions usually start with a noble purpose, to protect workers rights in an environment where business has all the leverage, but the leadership quickly becomes corrupt and allies itself with the far left. This is the same pattern that has played itself out pretty much everywhere. In South America, Asia, Europe, etc, the trade unions typically align themselves with the far left and usually become their single biggest financial supporter.
Cringing, your positions on trade are no different than Bernie Sanders (Socialist, Vermont), Ed Schultz (whackadoodle, MSNBC), etc. Liberals don't like competition, and you agree with them. Conservatives know our workers and companies can compete successfully in most areas, if only we remove the barriers such as high tax rates, over regulation, forced unionization, etc. Were it up to you and the leftwingers who share your views, the we would still be stuck with the big 3 automakers turning out unreliable garbage. The only reason they've improved at all is through competition.