It's very uncomfortable to switch between Maya and Max because of the different viewport navigation styles. Depending on the project I'm working on, I like to choose between Maya and Max or rather use both of them. Unfortunately, if I work with one of two softwares intensely, it's quite difficult to go back to the other one, because I'm prone to use the last navigation style. As said here, I prefer Maya navigation style because it's fast, logic and easy to remember.
MEM's Max2Maya solved my problem smartly.
MEM's Max2Maya "is basically an alternate viewport navigation inside 3ds Max that tries to mimic maya's Alt + Click viewport navigation to some extent". Essentially MEM's Max2Maya is an excellent, free alternative of Switcher for 3ds Max, a commercial solution by digitalRaster.
I thought to use autohotkey to achieve the same result using a script like this one, but MEM's Max2Maya works fine with 3ds Max 2011 Subscription Advantage Pack, so why wasting time?
MEM's Max2Maya will install a global hook to supervise mouse and keyboard inputs and send them back to Max.