The different ideologies of the Republican and Democratic parties are:
Democrats are not in favor of using the military against other countries while Republicans increase the military budget so the they can go to different countries and fight.
Democrats do not like the second amendment (right to bear arms) and don't want civilians to have the right to have guns while Republicans feel that American citizens have the right to own and protect themselves with a gun.
Democrats are also in favor of allowing people to have abortions and LGBTQ rights since America is founded on freedom. However, a lot of Republicans have different thoughts and feel that abortion isn't right and don't think LGBTQ should be allowed (It depends on the Republican).
There are a lot of differences and It's all sort of scattered since not every Republican believes the same thing, vise versa for Democrats but this is the main ideologies I see these days.