Hard to tell. The strikes seem to be fizzling out a bit, but the protests are increasing and are getting more violent. There are more "coup de poing" operations as well, e.g. most railway workers don't go on strike, but a dozen or so protesters occupy a signal box at a busy junction and shut it down = no trains.
If riots continue into May, then Place de la République is probably not the best area.
Wheelchair wise - at the moment the uncollected garbage on the pavement is an issue in the streets, but the incinerators are coming back on line apparently, so that should be cleared up by late April or so.