what yeast strain did you use for the IPA?
if it's an ale strain, which i'm guessing it is, you will no longer have a lager if you use that strain exclusively - it could still be very clean and lagerlike but won't be a lager
if you use ale yeast and lager yeast you will likely have one of 2 results depending what temp range you ferment in
1 - at ale temps you'll prob get some nasty esters and off flavors from the lager yeast
2 - at lager temps the ale yeast will most likely remain dormant and not do much of anything
generally starters are not recommended for dry yeast but 1 packet of yeast is likely underpitching for a lager unless you have a very low OG
edit: if you cannot ferment at lager temps I would suggest using some of the yeast from the other batch and ferment towards the lower end of the yeasts range. use mr malty calculator to determine how much yeast slurry to use - you don't want to just pitch on top of the entire cake