Both Ibanez and Fender have a very distinct sound to the discerning ear.
I find Fender tones to be "plinky" and very high pitched and thin. I can only compare this sound to single coil pickups. People who play classic rock and folk music seek after them. I find that Fender products are also a bit hit-or-miss when it comes to neck dimensions. You can pick up 2 American standards and somehow the neck is different. Fenders are a bit easier to work on the electronics due to their access point being on the front of the guitar and some models having all the pickup slots routed into each other like a swimming pool. Electronic options can sometimes be limiting because you HAVE to find a pick-guard and control plate that fits YOUR model.
On a scale of 1-10 EQ... most stock strats tend to have Bass 2, Mid 8, Treble 10
Ibanez tones are usually fatter and more mellow. More like Bass 4, Mid 6, treble 7. It's a more balanced tone. Ibanez is great about producing the same exact necks as well. The blind feel test on a series of Ibanez guitars would be very hard to distinguish the differences in feel alone. I think this consistency is terrific. Ibanez guitars are a jack of all trades guitar. They can ALMOST sound like a strat but not quite while also being able to mimic other guitar tones. These are used in everything but especially in the rock and metal.
I'd personally go with*Ibanez*. Higher consistency, wider price ranges, and parts are plentiful and not as finicky with different models.
Try to find a lightly used RG that was made in Japan if you can. Don't go too cheap either. I would say 500 is a good range to look at if you want decent quality and not have to upgrade down the road. Make sure to get 24 frets as well. You will be frustrated if you are trying to play a song that requires a bend on the 24th fret (making it like a 28th fret" and your stick with just 22 frets. Try to get one with EMG pickups if possible. I love active pickups but for a beginner, changing a battery can be a deterrent.
Tremolo Bridges-
For some styles of music they can be important. They train you to have a light touch with the guitar as well. If you were to ever play Van Halen, Pantera, or any other band that heavily uses this, it will be a must. It has a learning curve though. Tuning them can be difficult especially if they have a locking nut. There is a new type of bridge you can upgrade to called an EVERTUNE TREMOLO BRIDGE. They are EXCELLENT at keeping your strings in tune and they have some features that can be really good for someone who doesn't want to fuss with the guitar much. At first though, they will require you to learn how to set it up. If you don't plan on using a tremolo in your playing, a fixed bridge is great too. It will limit what you can play slightly but it will be much easier to deal with during restringing and tuning.
Another thing you need to factor in to your budget is a professional setup. Every luthier in your town will claim they do it the best so you may need to research a bit to see who has the best reputation for great guitar setups. It's something you need to learn yourself down the road, but it will make the experience of playing the guitar so much better for you to have your new instrument set up correctly. I would suggest requesting that they set it up with a very low action, a flat neck, and the pickups to be decently high. These usually run on average of 70 bucks.
For your second guitar, go used. You can get a much bigger bang for your buck if you know what to look for. For a first guitar, unless it's a Japanese RG or one of those Takamines I would try and get a brand new guitar with a warranty.
After you have your blind play test, compare local prices to online. If you use an Online source to get your instrument go with Sweetwater.com . Top notch customer service and on some guitars they have a feature where you can actually see the EXACT guitar that you bought, even the serial number of your guitar and you can choose which one out of a couple of them you want.
Don't forget to show us what you get ;)