You're not worth the money in A New Beginning

So as the days go by and she keeps trying to get me back in her life, she has tried some pretty nasty things lately, especially around money. She has threatened to get max child support from me (even though we agree’d on 1000 a month, minus her car payment) So I got her a car last month (all in my name and my insurance) and it’s 170 a month so i take out 85 from her 500 payment and voila, that’s it. easy day.. but NOPE, now that i’m not coming back to her when she wants, she’s saying how I need to pay her the Full 500 and that I owe her for selling he last car so therefore i don’t take out anything for this car, and that my friends was never talked about nor agree’d on, because I sold that car because i had to move across the USA from NY to WA to be here with her and the kids and had 2 vehicles to worry about, so yah I sold OUR car and the title was in my name, so technically it still wasn’t her car, but i felt bad that she had no transportation and wanted to keep things on a good level with us even after she cheated on me and is now living with another guy, so i got her a car and it’s a 2013 with only 80k on it, so it’s a good car and a good payment. I mean how many guys do you all know would actually do this? would go get a car for their soon to be ex wife while they were living with the guy that they dumped you for? please tell me.. because I’m sure that i’m a fucking rare dude for even considering it, let alone doing it. anyway, she has managed to put the car to good use and get a job and everything since then.
To get back on topic here, she has also threatened with getting alimony and such because she obviously doesn’t like the lower payment from me of 415 and she knows that i’m not bumping that up to 500. So i told her “fine, let court settle this, but until then you’re only get 415, you’re a working woman with a masters degree, your man in the house has a job now too, I pay for the personal loan that we got last year for 275 a month to settle some debt and put a down payment on our home, I also pay for the car’s insurance and haven’t made you pay that either, and honestly if it all gets too expensive for me, i’ll just take the car back because it’s all in my name anyway.” then her response was “Well it would be so much easier if you just come back to me and we could not worry about any of this and there wouldn’t be any financial issues anymore” and I said “the only financial issue i’m having is YOU, trying to leech more out of me, then you’re worth, and trying to take more because you’re mad at me for not complying to everything you want, like I’ve done for you for the last 7 years.” I also told her that pretty much I don’t care what the court says on money because whatever the cost is, it’s not going to break me, i’ll still live better then her, and there just isn’t an amount of money that’s worth coming back to her, even if they drain my savings and give it to her, i don’t care at this point, money is money and it will always come back to me, but living with her and all that stress just isn’t worth it. I’m happy that society gets to determine what to do with my earnings, especially with a chick that has a masters degree and a another dude already helping her with money and payments in the home. I hope the court see’s her for what she is at this point. but whatever either way.
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TLDR: In my eyes, I’d rather pay you off and not deal with you anymore then battle you over money, but I still think it’s bullcrap how people try to take money from you when they haven’t earned any of it. you don’t see my hand open to her for anything, no stuff, no items, nothing, i just want a clean break and a civil relationship for our kids.