Here’s what I mean. Even though you may disagree with General Mattis on certain issues, the fact that he’s so high capacity at his job means that he’ll be more effective than another Secretary of Defense that you may share your same views. Thus, making General Mattis a greater friend to the worldwide LGBT community as a whole, than many others. However, that’s only my opinion.
As far as women in combat arms. There are many women who are highly capable and would do well, and many wouldn’t. I would imagine that the first step to a fully integrated military would be to establish physical standards that everyone has to meet. In other words, not have one standard for men and a lower standard for women. Again, my opinion. I did serve in the US Army, but I don’t consider myself a military/Army expert by any means.