Make a list of all the issues that the Democratic Party enthusiastically approves of and ask if that belief and practice is acceptable from a Traditional Catholic position.
First, the D's are overwhelmingly and enthusiastically in favor of abortion rights. They even approve of government funding of abortion.
Second, the D's are in favor of racial hatred mongering and dividing people by race and pitting one group against the other for political gain. They also support gαy marriage and all sorts of deviancies in the pursuit of political power. They don't support these deviancies for the sake of freedom because the D's are full square behind mormon polygamy.
Third, the D's change their position depending on how it will benefit them as a party so they adhere to a belief system that is similar to shifting sand.
Fourth, the D's are as full on against the establishment of Christ the King as is humanly possible.
There is a lot more but I'm not really enthusiastic in making the list
R's are guilty too but the question asked was pertaining to the D's.
I do not think, in good conscience, that a Traditional Catholic could embrace or even join the Democratic party.