  We present a systematic investigation of few-nucleon systems and light nuclei
using the current LENPIC interactions comprising semilocal momentum-space
regularized two- and three-nucleon forces up to third chiral order (N$^2$LO).
Following our earlier study utilizing the coordinate-space regularized
interactions, the two low-energy constants entering the three-body force are
determined from the triton binding energy and the differential cross section
minimum in elastic nucleon-deuteron scattering. Predictions are made for
selected observables in elastic nucleon-deuteron scattering and in the deuteron
breakup reactions, for properties of the $A=3$ and $A=4$ nuclei, and for
spectra of $p$-shell nuclei up to $A = 16$. A comprehensive error analysis is
performed including an estimation of correlated truncation uncertainties for
nuclear spectra. The obtained predictions are generally found to agree with
experimental data within errors. Similar to the coordinate-space regularized
chiral interactions at the same order, a systematic overbinding of heavier
nuclei is observed, which sets in for $A \sim 10$ and increases with $A$.
