MY answer is obvious and you probably get 2 rifles for $1500.
2 diff cartridges -- ALL Wx, aka, synthetic, stocks......
Let's see what others have to say.
Later
Tikka T3 in a chambering if your choice, Sportsmatch rings, SWFA 3-9.
BINGO
I'd buy a Tikka and spend the rest on a couple of hookers.
BINGO x2
T3X and a used 3-12x LRHS.
BINGO x3
Tikka T3x stainless light, talley rings, Leupold VX3i 2.5-8 x 36. Total for new stuff $ Rifle -$800.00 scope $399.00, rings $50, money left for ammo $250.00.
BINGO x4
Yeah, I'd probably just buy an SS T3X in .270win and put the rest of the funds toward the glass and loading supplies.
BINGO x5
X 6 counting MINE. PLUS
To assemble your “go-to - first pick out of the safe - go anywhere all-around rifle for the lower 48 for non-dangerous game that you eat”
The $1500 budget covers the rifle, rings, and bases (not scope)...
You didn't include a scope... assuming UHH supposing, you have a scope.
A Tikka T3X SS Lite in 30-06 OR 7 RM..... all weather equipped, all around, ALL game in North America.
Seems simple to me.
GOOD Luck
Jerry