great pic Ron and thanks for info. LP quick hitch is likely strong enough, but definitely would need some fabrication work.
Here is a pic of the mower issue.
Afternoon;
I can see two fairly easy ways to take care of that problem.
Any halfway decent welder/fabricator shouldn't need two hours to do either one;
1) modify your existing mower hitch arms,
cut the ears off, weld on a sideways extension and two new mounting ears, with cat 2 holes (1 1/8")
2) buy a cat 1 quick hitch and 2 6" pieces of 1/2" thick 4" x 4" angle iron with an appropriate hole bored in it and weld it to the quick hitch

I would bore out the quick hitch to 1 1/8" holes and use a long cat 2 pin, but a cat 1 pin and a bushing in your lift arm would work also.
I am surprised that your lift arms don't have bit of a bend to be more square with your implements.
Just have a better job done then my photo editing is.
You may need to remove that top strap off your drawbar it may get too close to your pto shaft,
If it was me I would make new arms for the mower, but a modified quick hitch would work on other cat 1 implements.
I don't like the quick hitches as they get in my way reaching in to connect the pto's.
Good luck