Hey...there is no right or wrong in decor. It is right if you like it or works for you. So yes, it can work. I just dont understand why you say you can't gather to the right. There is enough space there

I can definitely agree about the sheers needing to be fuller! They're currently on one of those wrap around bar/rod things, that hook to the bracket with a little silver tab ( I hope that makes sense!). But the brackets for the two rods are the same size, so I could put the tabbed bracket behind the other (the tab extends from the side of the bracket, and so is still usable) and then the sheer and the heavy curtains would be coming from the same origin? The wrap around rod would still be slightly lower than the the other rod because the way the brackets support are different.

I know exactly the type of rod you're referring to. You could raise it up to run behind the other rod.
But if you want the most finished and pulled together look, maybe invest in a double rod bracket and another matching rod, usually in a smaller diameter. These brackets are sold separately and aren't expensive. Then, get at least 2 to 2.5 times the width of the window in sheer panels. Also, make sure the sheers and drapes come down to almost touch the floor.
With these adjustments, I think you will be happy with how nice it will look!

Since the sheers are a rodpocket, the rod should be lower than the front rod, otherwise you'll see the top of them thru the grommet holes. If you use a double rod, you'll need a different heading for the sheers. Also, the grommet should be placed after the bracket to hide it, not in front. That pic above is a good pic of what NOT to do.

I disagree with the above opinion. Your grommet holes are small and the drape is very full so you will never see the sheers through the grommet holes. And the rod pocket heading for your sheers will work just fine, you don't need different ones. But she is right about the last grommet on the left should go on the other side of the bracket to hide it.

It's more than an opinion. I used to do this professionally. They have the right idea already, just the sheers need to be fuller.

You are getting good advice about the drapes. I like that you hung them pretty high. I probably would've had the rod extending maybe another 4" out, to allow stacking of the drapes mostly against the wall, so not covering the window.

(Maybe you did that on the left side--we can't see where the window ends on the left, which I think was your intention).

And, some unsolicited advice, feel free to ignore:

With that kind of entranceway directly into the family room, I would purchase an enclosed cabinet, larger than what you have there, and place it perpendicular to the wall, right where all those hats are. It would make mini "foyer", and I hope would provide a place to drop your keys, bags, shoes, hats on the way in the door.

Then you wouldn't have hooks and hats on the wall there, and all that other stuff on the back of the door.