The same way I enjoy having a poker game as well, weightlifting with friends etc...
You can do these, and many many similar activities, without going against the authority of your Church. Your Church is saying quite clearly, you must choose.
What would your fellow masons think if you were consciously continuing in an activity that was against the express teachings of Freemasonry?
Again, I hope take your questions to the Church; I believe you do not fully understand, and hope, again, the result will be a very beneficial one for you and the Church. I am a convert, I converted in middle age. I had many questions and have had since. When I do I discuss them with priests, educational ministers; I read more and look deeper into the teachings of the Church.
This is what I'm suggesting you do. I think, like me, you'll will find many, most or all of your disagreements are based on lack of knowledge of the fullness of the Church's teaching proclaiming Jesus Christ.
After a thorough effort here, I think the honest thing to do would be to choose either the Church or Freemasonry.
This is my opinion of course, I think it's worth considering.
I wish you the very best; may God bless you.
And thank you my friend.