I have the same dilema with my AR15. It has a 6.5-20X which is great for long range but very bad for calling and quick shooting. I have found a couple mounts that would put a red dot in the one o'clock position or at a 45 degree offset to the right. With those mounts, you wouldn't have to lay the gun as far over as you might with genesis's setup (which is sweet by the way).
I have also seen a weaver base that actually mounted directly onto the scope. Several different options out there.
Pbchucker - shooting right-handed, it is more natural to lay the gun over counter-clock wise. Take your calling gun and try and lay it over both ways to test it.