The issue of transgender is, in the context of what matters to national security, a red herring; why you added it to the discussion is unclear.
I didn't. Craig4 added it to the conversation as an example of Mattis' good works in restraining The President.
On the national security policy side, Kelly's too busy putting out helmet fires that Trump starts. Quite frankly, that's his job.
Kelly was hailed as a restraining influence on The President and was supposed to curtail his tweeting and put the White House back in order. I have yet to see any evidence of this - indeed, the thing which has so far caused the most damage to the Trump Presidency, The President's comments regarding Charlottesville happened on Kelly's watch.
Both McMaster and Mattis had to polish the policy turd in Iraq that the Bush Administration laid for them. That will make them less hawkish, not more.
If they're less hawkish, I'd hate to see what more hawkish looks like
Obama's ISIS policy seems to have been continued (which may be no bad thing - who knows) and if anything escalated.
The US is upping the ante in Afghanistan.
The US' position on North Korea has changed from one of diplomacy to one based on sabre-rattling.
As to your paranoia regarding "right wing agenda" you are tilting at windmills. Trump continues to alienate the GOP, which is no surprise to me at all. A major voice in Trump's ear regarding said agenda is now gone: Bannon. Good riddance. Maybe the president can get down to business. (It would be nice ...)
The GOP has been quietly getting on with business as usual whilst President Trump has been providing a distraction. On both a federal and state level, environmental regulations have been gutted, programmes have been defunded, financial regulations binned and Obama's legacy (modest as it is) has been eroded. The anti-immigrant legislation is rapidly being put in place and even if the "Muslim Ban" is only partially implemented, the other key platforms have carried on as before.
Sure healthcare repeal has been an omnishambles but that IMO has nothing to do with President Trump and everything to do with the GOP not having a viable plan B.
If the GOP can get "tax reform" (aka huge tax cuts for the wealthy) through then they'll have got most of their "to do" list sorted. It doesn't matter whether The President and congress are at war with each other, each seems unwilling to countermand the other when push comes to shove.