rimrockhunter,
No real advantages or disadvantages to either system, only perceived. Two piece bases are just as strong as a one piece. The steel action is pretty stiff as is, and it only stands to reason if it flexes under recoil anything screwed tight to it is also going to flex.
Aluminum weighs 1/3 that of steel. It also takes three times as much to get the same strength. Steel is much much stronger than aluminum. The modulus of elasticity (a measure of stiffness: 29,000,000 psi for steel and about 10,300,000 psi for aluminum) and the yield point (stress at which a material will deform and not return to its original shape) of steel are far greater than aluminum.
With all that being said, I would say get what works and looks best to you. I have used the Leupold, Redfield and Burris STD and Dual Dovetails. The only failure I ever had with any was on a one piece Redfield STD base. A windage screw sheared off due to the recoil of a .300WinMag. Any of the dual dovetail bases with the Burris DD Signature rings are a nice set up.
I have not used any of the Picatinny rail type bases and associated rings, mostly due to price. I can not conceive of paying 3-4 times the cost for bases/rings because, again, of perceived advantages, they're "cool" or Tactical has been used in their description. Like it or not, it is what it is.
JohnnyK.