Too much damage for anyone other than someone who can have a proper look at it to give a decent quote. Anyone else is just guessing and it does no one any good. Besides, it will be an insurance claim and you will only pay the deductible.
I'd guess yours is more (maybe $8K-9K) since major parts-wise, you're looking at a more costly total in parts: bumper, light, fog, fender, and hood. Good luck and keep us posted on updates and pictures.
Remember to say that it's just worldly stuff, you don't mind. Anyway try to get the insurers to total it. Nothing like a new Lexus to make you forget a wrecked one. Some guy will love to buy the wreck from the insurers to rebuild it.
Another F-Sport damaged, <<sigh>> First, I hope your wife is ok. The RX can be fixed or replaced. Can't say the same about her. Remember that. It's not easy for us to estimate the damage. Let insurance take care of it. Good luck.
My wife did a very similar damage to the RX350. Replace hood, both front fenders, radiator, front grille, both headlights, water reservoir, etc but no damage to the frame. Total cost about $7000 which the insurance paid for minus deductible. It was repaired very well and I am very happy with it.
Thanks all for the concern, yes my wife is ok and thats the important part, based off what I could see I'm guessing it would be about 10-12k damages based on the cost of oem parts. luckily there was no frame damage from what I could see. Were waiting to see what insurance will cover the damages, both parties were issued tickets. My wife for failure to control speed, the other party for illegal lane change and crossing a double white line. The officer who showed up seemed to think even when my wife rear ended him, that the other party was at fault . crossing my fingers !!