“because it has become the norm to dress less respectably, you will realize that it is proper wear a hat and especially a jacket for davening.”
While your point might be half true. There are times where people do dress respectably, such as state dinner or something like that where black ties tuxedos are worn. In those instances hats are not worn though they may have been once upon a time.
“The normal way to wear a jacket when wearing tefillin is to have one arm out; there is nothing ridiculous about it.”
that is pretty much what I have been trying to say. when davening our garb is quite different than when in front of a president. We have our own standard of dress for davening that we consider bekavadik including a hat, tefillin and halaf a jacket without a tie. None of these are how we would appear in front of a President. I didnt mean this as an arguemnt NOT to wear ajacket just that the argument to wear a jacket becasue thats what would be worn in front of a president ” is in fact a ridiculous argument.”