So I realized with the suggestion in the comments that there is a much better solution to driving a higher voltage H bridge than using transistors or secondary mosfets and zener voltage. I have revamped the question. I am still pretty green to all of this stuff so maybe if anyone has a moment they can check over the schematic I have drawn for any other suggestions or problems with it. I'll post data sheet links to the parts below if you want to look at them. I realize that some of these parts like the 600v diode rectifiers are way over kill, but I have most of them parts on hand except the drivers.
The question(s) I have now is as follows.
the datasheet schem I started with showed a half bridge without the flyback diodes but has the capacitor 5 in the schematic I have drawn. I do believe that the datasheet schem was not an inductive load so I am guessing that is why they did not have the flyback diodes. So do I need this capacitor in my case if I have the flyback diodes, or is it a good idea to have it there anyway for reasons I do not yet understand with my wee bit of knowledge?
As far as operating this bridge, my plan was to pwm the high side with arduino uno, and just put the corresponding low side either high or low. Example: pin 3 pwm value, pin 2 high, pin 5 & 4 low for reverse. And then pin 5 pwm value, pin 4 high, pin 3 & 2 low for forward. In my research since I discovered the high side boost drivers yesterday I found some discussion on the capacitors not recovering quick enough but the circuit was a much higher frequency switching circuit like over 100KHZ. My question on this is, should I pwm the low side MOSFETS instead, or will the capacitors recover quick enough with a 480HZ or max 980HZ pwm cycle of the arduino pin depending on the pin.
My last question, should I run both channels on the driver at the same time so 3 and 2 would be on driver 1, and 5 and 4 on driver 2? Or is it fine to run the high on one driver, and the low on the other driver like I have drawn in the schem.?
Driver link: https://www.mouser.com/ds/2/196/ir2101-1226834.pdf
MOSFET link: http://www.mouser.com/ds/2/149/IRL640A-1010638.pdf
25v Capacitor: https://www.mouser.com/ds/2/212/KEM_A4069_A758-1140489.pdf
200V capacitors: https://www.mouser.com/ds/2/293/e-uvz-1219460.pdf