I agree you should be able to get better sound than that 30 years old model without spending a lot of money. The 2311 is a nice unit that deserves something more current.
As to the question of running 4 ohm speakers, you cannot really generalize the matter because you have to consider many other factors. For example, there are many tiny HT in a box kind of speakers that are rated 4 ohms or less yet they are typically powered by relatively weak amps. One major factor is the sensitivity and the power handling rating.
I am not sure if the Googled data is accurate, but if it is, then the 2311 is fine because the KG2 would have 90.5 dB 1W@1M so it would be like (now this is a generalized statement I am making) an 8 ohm speaker with 87.5 dB 1W@1M. It can also handle 65W continuous and 325W peak. Based on such Googled specs I would not worry about damaging either the AVR or the speakers as long as the speakers are not in near spent condition due to old age. Modern AVRs such as the 2311 should have overcurrent protection so if anything, you would risk damaging those old speakers, not the AVR.