Are there Republicans that have issues with some of the things that Trump says and has said in the past, yes, but whether Republicans are proud or not, they are in the overwhelming majority supportive of their nominee. This
article says the average support Trump got in some polls from Republicans was 85%. Donald Trump has more support among Republicans than the Republican support for John McCain in 2008 and George W. Bush in 2000. Donald Trump even has a higher level of support among Republicans than Ronald Reagan got and some other Republican presidential nominees.