I do this except in a different order. I'm using the 2X credit for each night to requalify plat at MR, will make my 40 nights/20 stays in spg this spring, then do my 28 stays/60 nights at hilton this summer or fall and if time permits make a quick run at the Hyatt, I do this every year and the order just depends on the promos in effect at the time to maximize efficiency.

If you can do it easily, I see no reason why not too. Some will argue keep all your points in one program, but I have so many points in all but the Hyatt that it doesn't make a heck of lot of difference to me.