Are you on a 60 Hz supply? 1750 rpm sounds funny for 50 Hz.
I'd just replace the cap(s) with modern equivalents as a first step. The symptoms sound like a dodgy start capacitor. The motors themselves are nearly bulletproof except for the bearings but they should be fixable especially if ball races.
What sort of motor is your 2000 rpm one? A 4 pole induction motor will run at 1800 rpm max (maybe 1750 actual) on 60 Hz and a 2 pole maybe 3500 on 60 Hz. Anyway it's only 14% faster than your present motor which is negligible. As for the power, people don't seem to appreciate that power is the MAXIMUM the motor can turn out when fully loaded. It doesn't deliver any more power than the job absorbs, so if your worry is the belts breaking with more power, if you don't take heavier cuts it's no more likely than with the current motor.