Next season aims to be the worst season to start fresh. People with 2/2 upgraded T1 will be miles higher on stats then people with S13 honor gear.
Here is the difference between 2/2 S12 PVP gear and S13 Honor gear for a DK (using shoulder piece as an example)
346 PVP Power
398 PVP Power
Difference of :
+52 PVP Power
Also since pvp power and resilience are half the budget of raw stats (160 agi/str/int compared to 320 pvp power/resilience based on gems). Stamina is 1.5 value.
You're looking at a gain of +52 raw stats at a loss of -382~ raw stats so a overall loss of -330~ raw stats and that is just 1 piece of gear.
Multiply that number by 12 pieces (not including weapon, not including trinkets) and lets even put the stat loss at 200 and you're looking at 2400 stats lost in a full set of gear and that is being incredibly generous. (Realistically closer to a 4000 stat loss)
Remove Ilvl from pvp gear if you're so concerned about it ruining pve.