I’ll address the specific policy issues you raise below. First, though, I need to ask:
Do you really think that “Democrats want to stop us from following the Torah?” This assertion is not only without basis, it’s preposterous.
Comments such as these belie, at the very least, an astounding ignorance of history (Jewish history, American history, and world history) and a willful disregard of reality. They also undermine your own credibility, raising the possibility that you do not argue in good faith.
Now, to the issues: There is absolutely zero debate in American politics about the moral question of homosexuality; every American politician across the entire spectrum supports the idea of full equal rights of homosexuals. Even the question of same-sex marriage was only about whether the specific term “marriage” should be limited to heterosexual couples. Everyone agreed that all the rights and privileges of marriage should be extended to same-sex couples in a legal union. Conservatives (and, until about 2010, even many on the Left) just wanted that union to be recognized under a different name.
Likewise, virtually nobody in the country takes a view on abortion which would be in accordance with the Torah. The most extreme right-wing positions allow for abortion in the first six weeks of pregnancy, or in cases of rape or incest. Both Right and Left allow abortion contrary to the Torah; the difference between them on this question is quantitative, not qualitative.
It would be fairly easy to make the case that Democrat policies are generally more charitable and concerned with the welfare of all people, which is more consistent with Torah values than Republican policies which are more aligned with Midas Sedom. This is just one example of how Democrats can be said to be closer to the Torah than Republicans.
I understand the counterarguments on all of these issues. But that’s exactly the point; this is an American political issue, not a Torah debate.