well there is nothing wrong with making a rifle fit you better, will ONLY help things

but its also nice to have a second rifle, call it a back up, or for different game or locations and hunts

NOT to bash the axis rifle, but it will always be sort of an entry rifle, and any mods you make will never be recouped, so keep this in mind

a Rem 700, will be an upgrade right from the get go, and the sky is about the limit on what you can do with one

I like the caliber 7mm08, have hunted from AP to AK with mine and NO complaints from Caribou down in game size and out to 400 yards on them and dropped them in there tracks(there NOT hard to kill)
bullet placement and knowing YOUR limits, is a better way to hunt,
than counting on a larger caliber to do the work for you! or causing a faster kill due to more power
stay in your calibers killing range and YOUR skill level, and you'll add up all the kills you could want!
IF your savage shoots GOOD for you now, old saying WHY fix something that ain't broken comes to mind LOL

length of pull can be helped with a larger recoil pad to maybe help on fitting better and leave you more money for a second rifle?