Is it feasible ?
I won't get a filter per lens
You could do with a step-down ring but you'd probably have to say goodbye to using the hood in such an arrangement.
The cheap Chineses adapter rings are fine at around 1-2 euros each inc. postage, get a set they're just so useful with good quality filters costing so much for each lens, you'll do fine!
The important is the optical quality.
Just ordered B+W polarizer, will be using on
24-105f4 IS, 17-55f2.8 IS (both 77mm)
15-85 and tokina 24-200 (72mm)
10-18(67mm)
for the 50f1.4 and 100mm macro and 70-300IS I already have a cheap polarizer, with overlapping alternatives and focal lengths I don't feel I would use a polarizer on them anyway
I already ordered a 77-72 stepdown ring, do you think a polarizer makes sense at 10mm ?