I can't comment on the Remington because I have never shot one. I will offer something else for you to consider. I own 2 Smith and Wesson 1911's and can't say enough good things about them. They are highly under-rated in the 1911 world.
I would highly recommend Sig, Smith and Wesson, or Springfield. Lifetime warranties and great CS by all three, and a variety of models can be had under or over 1000. The R1 is nice, and competes well with the Ruger SR1911 and Springer Mil Spec. Ask yourself what you really plan to do with the gun though. Is it just for fun? Carry? Home defense? Remember that it is far more expensive to upgrade a gun than buy it with the features you want from the factory. Just my two cents.
Also...a 45 is really the only way to go.
Les Baer makes an outstanding 1911. If you have the money, it is the way to go. If you are looking to spend a little less money, Springfield would be a good choice as well. The Springfield Loaded is an excellent choice. It shoots well and is very accurate. If you go springfield, you'll definitely want to upgrade to Wilson Combat mags though.
Remington does make an R1 Carry... Is this what you had in mind?
Remington R1 Carry Review - Guns & Ammo