Vedantic texts discuss ideas that other religions, philosophies, ideologies do not discuss. For example, the idea of punarjanma or divya-janma or avataara (incarnation or rebirth). These are alien to the Islamic framework in which one dies and waits endlessly to reach the heavens or hell. As such, one cannot argue against these concepts based on Islamic or other religious texts that do not speak this language.
Dr. Naik even claims that 'avatara' and 'punarjanma' are alien to Hindu texts too. I feel sorry for his ignorance on 'Hinduism' because this is discussed across all the Vedantic texts. Particularly in Bhagawad Gita Sri Krishna brings this up in many places. For example:
jnanavan mam prapadyate
vasudevah sarvam iti
sa mahatma su-durlabhah
samsiddhim paramam gatah
punar avartino 'rjuna
mam upetya tu kaunteya
punar janma na vidyate
Regarding the idea of 'avatAra' (incarnation), below are a popular and spectacular verse from Bhagawad Gita, that highlights an idea that cannot be comprehended using other religious perspectives. The inconceivable nature of the Lord needs to be understood here, which is beyond other ideologies:
ajo 'pi sann avyayatma
bhutanam isvaro 'pi san
prakrtim svam adhisthaya
glanir bhavati bharata
tadatmanam srjamy aham
vinasaya ca duskrtam
sambhavami yuge yuge
These above shlokas (and there are many like these) may appear conflicting or contradicting for other religious ideologies or scholars. This often results in a typical and natural response "If He is unborn, how can He be born? This is utter non-sense". But it is not for a Vedantic mind; for a Vedantist this is wonderful, mind-blowing, awe-inspiring, profound, crystal clear and tastes like nectar.
One's perception of sense and non-sense depends on a number of things - degree or level of spiritual intelligence, education, consciousness, awareness, comprehension, inclinations, nature, environment, associations and so on. One cannot comprehend this without a spiritual awareness, and and Bhagawad Gita is all about 'spirituality' and no 'religiosity'. You cannot analyze spiritual texts within the frameworks of religious texts (such as the Islamic ones); this would be like analyzing aspects of physics using the frameworks of chemistry, or the "koopa mandooka nyAya", i.e. attempting to scale or measure an ocean using the dimensions and limitations of a well.
Above are just a few handful verses, and there are many one I wish to compile here, over time. This is for a start. Contemplate and you grow.
All glories to Sri Narasimhadev because it is Narasimha Chaturdashi today. Hare Krishna.