You must feel less like you are on a merry go round than bouncing from ride to ride at the amusement park. Having a gifted child is a challenge, a 2e child more so but twins! I have so much sympathy for you.
On the up side, Aeh has helped you get onto the right path. While you have found issue after issue, you have identified the problems and found therapists. Well done. That is a massive step in the right direction.
I hear that it is exhausting and frustrating and ongoing. Hopefully you will get some opportunities to take breaks and enjoy your lovely children in between all those appointments. Then take a moment for yourself if at all possible.
This a good starting article on stealth dyslexia. There are others on the forum who have more experience with that. I just wanted to send you positive thoughts and hope you know your hard work and effort is worth while!
http://www.davidsongifted.org/db/Articles_id_10435.aspx